Bulletin of the Iranian Mathematical Society
text
article
2016
eng
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
4
no.
2016
http://bims.iranjournals.ir/article_832_4119b663aedfbafd2eacfcbf800710fb.pdf
The geometric properties of a degenerate parabolic equation with periodic source term
G.
Guo
Institute of Mathematics, Shanghai Normal University, Shanghai, 200235,
China and
Institute of Mathematics, Jimei University, Xiamen, 361021 China.
author
J. Q.
Pan
Institute of Mathematics, Jimei University, Xiamen, 361021 China.
author
text
article
2016
eng
In this paper, we discuss the geometric properties of solution and lower bound estimate of ∆um−1 of the Cauchy problem for a degenerate parabolic equation with periodic source term ut =∆um+ upsint. Our objective is to show that: (1)with continuous variation of time t, the surface ϕ = [u(x,t)]mδq is a complete Riemannian manifold floating in space RN+1and is tangent to the space RN at ∂H0(t); (2)the surface u = u(x,t) is tangent to the hyperplane W(t) at ∂Hu(t).
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
4
no.
2016
799
808
http://bims.iranjournals.ir/article_833_3a19f3cfd152e71e5060b6ee86fda34e.pdf
Constructing vertex decomposable graphs
E.
Lashani
Department of Mathematics, Science and Research
branch, Islamic Azad University(IAU), Tehran, Iran.
author
A.
Soleyman Jahan
Department of Mathematics, University of Kurdistan,
P.O. Box 66177-15175, Sanadaj, Iran.
author
text
article
2016
eng
Recently, some techniques such as adding whiskers and attaching graphs to vertices of a given graph, have been proposed for constructing a new vertex decomposable graph. In this paper, we present a new method for constructing vertex decomposable graphs. Then we use this construction to generalize the result due to Cook and Nagel.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
4
no.
2016
809
817
http://bims.iranjournals.ir/article_834_0e4d232717c9878e672368f90111370c.pdf
A limited memory adaptive trust-region approach for large-scale unconstrained optimization
M.
Ahookhosh
Faculty of Mathematics, University of Vienna, Oskar-Morge-nstern-Platz 1, 1090 Vienna, Austria.
author
K.
Amini
Department of
Mathematics, Razi University, Kermanshah, Iran.
author
M.
Kimiaei
Department of
Mathematics, Asadabad Branch, Islamic Azad University, Asadabad, Iran.
author
M. R.
Peyghami
K.N. Toosi University of Department of
Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.
author
text
article
2016
eng
This study concerns with a trust-region-based method for solving unconstrained optimization problems. The approach takes the advantages of the compact limited memory BFGS updating formula together with an appropriate adaptive radius strategy. In our approach, the adaptive technique leads us to decrease the number of subproblems solving, while utilizing the structure of limited memory quasi-Newton formulas helps to handle large-scale problems. Theoretical analysis indicates that the new approach preserves the global convergence to a first-order stationary point under classical assumptions. Moreover, the superlinear and the quadratic convergence rates are also established under suitable conditions. Preliminary numerical experiments show the effectiveness of the proposed approach for solving large-scale unconstrained optimization problems.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
4
no.
2016
819
837
http://bims.iranjournals.ir/article_835_05d125fc7788d3d72bb2e454b7c9ae39.pdf
Totally umbilical radical transversal lightlike hypersurfaces of Kähler-Norden manifolds of constant totally real sectional curvatures
G.
Nakova
Department of Algebra and Geometry,
Faculty of Mathematics and Informatics,
University of Veliko Tarnovo "St. Cyril and St. Methodius",
2 T. Tarnovski Str., 5003 Veliko Tarnovo, Bulgaria.
author
text
article
2016
eng
In this paper we study curvature properties of semi - symmetric type of totally umbilical radical transversal lightlike hypersurfaces $(M,g)$ and $(M,\widetilde g)$ of a K\"ahler-Norden manifold $(\overline M,\overline J,\overline g,\overline { \widetilde g})$ of constant totally real sectional curvatures $\overline \nu$ and $\overline {\widetilde \nu}$ ($g$ and $\widetilde g$ are the induced metrics on $M$ by the Norden metrics $\overline g$ and $\overline {\widetilde g}$, respectively). We obtain a condition for $\overline {\widetilde \nu}$ (resp. $\overline \nu$) which is equivalent to eachof the following conditions: $(M,g)$ $(resp.\, (M,\widetilde g))$ is locally symmetric, semi-symmetric, Ricci semi-symmetric and almost Einstein. We construct an example of a totally umbilical radical transversal lightlike hypersurface, which is locally symmetric, semi-symmetric, Ricci semi-symmetric and almost Einstein.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
4
no.
2016
839
854
http://bims.iranjournals.ir/article_836_492ff15de80235a366b9a8fbf01ab827.pdf
A note on inequalities for Tsallis relative operator entropy
L.
Zou
School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing, 404100, P. R. China.
author
Y.
Jiang
School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing, 404100, P. R. China.
author
text
article
2016
eng
In this short note, we present some inequalities for relative operator entropy which are generalizations of some results obtained by Zou [Operator inequalities associated with Tsallis relative operator entropy, {\em Math. Inequal. Appl.} {18} (2015), no. 2, 401--406]. Meanwhile, we also show some new lower and upper bounds for relative operator entropy and Tsallis relative operator entropy.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
4
no.
2016
855
859
http://bims.iranjournals.ir/article_837_df4210a6e2cdcbb39f8414109f5622bf.pdf
A module theoretic approach to zero-divisor graph with respect to (first) dual
E.
Momtahan
Department of Mathematics,
Yasouj University, Yasouj,75914, Iran.
author
M.
Baziar
Department of Mathematics,
Yasouj University, Yasouj,75914, Iran.
author
S.
Safaeeyan
Department of Mathematics,
Yasouj University, Yasouj,75914, Iran.
author
text
article
2016
eng
Let $M$ be an $R$-module and $0 neq fin M^*={rm Hom}(M,R)$. We associate an undirected graph $gf$ to $M$ in which non-zero elements $x$ and $y$ of $M$ are adjacent provided that $xf(y)=0$ or $yf(x)=0$. Weobserve that over a commutative ring $R$, $gf$ is connected anddiam$(gf)leq 3$. Moreover, if $Gamma (M)$ contains a cycle,then $mbox{gr}(gf)leq 4$. Furthermore if $|gf|geq 1$, then$gf$ is finite if and only if $M$ is finite. Also if $gf=emptyset$, then $f$ ismonomorphism (the converse is true if $R$ is a domain). If $M$ iseither a free module with ${rm rank}(M)geq 2$ or anon-finitely generated projective module there exists $fin M^*$with ${rm rad}(gf)=1$ and ${rm diam}(gf)leq 2$. We prove thatfor a domain $R$ the chromatic number and the clique number of $gf$ are equal.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
4
no.
2016
861
872
http://bims.iranjournals.ir/article_838_871ce9b57fe08bf9203f8e500d1cd9ef.pdf
Center--like subsets in rings with derivations or epimorphisms
H. E.
Bell
Department of Mathematics, Brock University, St. Catharines, Ontario L2S 3A1, Canada.
author
M. N.
Daif
Department of Mathematics, Al-Azhar University, Nasr City(11884), Cairo, Egypt.
author
text
article
2016
eng
We introduce center-like subsets Z*(R,f), Z**(R,f) and Z1(R,f), where R is a ring and f is a map from R to R. For f a derivation or a non-identity epimorphism and R a suitably-chosen prime or semiprime ring, we prove that these sets coincide with the center of R.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
4
no.
2016
873
878
http://bims.iranjournals.ir/article_839_3782dc4a21cf87ae977f69355ec9216b.pdf
The Ramsey numbers of large trees versus wheels
D.
Zhu
School of Economics and Management, Southeast University, Nanjing 210093, P.R. China.
author
L.
Zhang
School of Management and Engineering,
Nanjing University, Nanjing 210093, P.R. China.
author
D.
Li
School of Management and Engineering,
Nanjing University, Nanjing 210093, P.R. China.
author
text
article
2016
eng
For two given graphs G1 and G2, the Ramseynumber R(G1,G2) is the smallest integer n such that for anygraph G of order n, either $G$ contains G1 or the complementof G contains G2. Let Tn denote a tree of order n andWm a wheel of order m+1. To the best of our knowledge, only R(Tn,Wm) with small wheels are known.In this paper, we show that R(Tn,Wm)=3n-2 for odd m with n>756m^{10}.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
4
no.
2016
879
880
http://bims.iranjournals.ir/article_840_30a26766892a2873e795eb8000b43f23.pdf
Coefficient estimates for a subclass of analytic and bi-univalent functions
A.
Zireh
Department of Mathematics, Shahrood University Of Technology, P.O. Box 316-36155, Shahrood, Iran.
author
E.
Analouei Audegani
Department of Mathematics, Mobarakeh Branch, Islamic Azad University, Mobarakeh, P.O. Box 84819-97817, Isfahan, Iran.
author
text
article
2016
eng
In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions in the open unit disk. Upper bounds for the second and third coefficients of functions in this subclass are founded. Our results, which are presented in this paper, generalize and improve those in related works of several earlier authors.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
4
no.
2016
881
889
http://bims.iranjournals.ir/article_841_1f6a850b3488d0952e36fdcc558e5e53.pdf
Relative (co)homology of $F$-Gorenstein modules
C.
Zhang
Department of Mathematics, Northwest
School of Mathematics Sciences, Chongqing Normal University, Chongqing 400000, China.
author
Z.
Li
Department of Mathematics, Northwest
Normal University, Lanzhou 730070, China.
author
text
article
2016
eng
We investigate the relative cohomology and relative homology theories of $F$-Gorenstein modules, consider the relations between classical and $F$-Gorenstein (co)homology theories.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
4
no.
2016
891
902
http://bims.iranjournals.ir/article_842_da59dead14e2b930104ab3b6393aba8e.pdf
On Black-Scholes equation; method of Heir-equations, nonlinear self-adjointness and conservation laws
M. S.
Hashemi
Department of Mathematics, Basic Science Faculty,
University of Bonab, P.O. Box 55517-61167, Bonab, Iran.
author
text
article
2016
eng
In this paper, Heir-equations method is applied to investigate nonclassical symmetries and new solutions of the Black-Scholes equation. Nonlinear self-adjointness is proved and infinite number of conservation laws are computed by a new conservation laws theorem.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
4
no.
2016
903
921
http://bims.iranjournals.ir/article_843_9440a70bdefec0826847378e3637ce93.pdf
On the order of a module
S.
Hadjirezaei
Department of
Mathematics, Vali-e-Asr University of Rafsanjan, P.O. Box 7718897111, Rafsanjan, Iran.
author
S.
Karimzadeh
Department of
Mathematics, Vali-e-Asr University of Rafsanjan, P.O. Box 7718897111, Rafsanjan, Iran.
author
text
article
2016
eng
Abstract. Let (R,P) be a Noetherian unique factorization do-main (UFD) and M be a finitely generated R-module. Let I(M)be the first nonzero Fitting ideal of M and the order of M, denotedord_R(M), be the largest integer n such that I(M) ⊆ P^n. In thispaper, we show that if M is a module of order one, then either Mis isomorphic with direct sum of a free module and a cyclic moduleor M is isomorphic with a special module represented in the text.We also assert some properties of M while ord_R(M) = 2.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
4
no.
2016
923
931
http://bims.iranjournals.ir/article_844_8c5b86ca03124119d8397dde84a956c0.pdf
Sufficient conditions for univalence and starlikeness
M. N.
Nunokawa
University of Gunma, Hoshikuki-cho 798-8, Chuou-Ward, Chiba 260-0808, Japan.
author
J.
Sokol
Department of Mathematics, Rzeszow University of Technology, Al. Powstancow Warszawy 12, 35-959 Rzeszow, Poland.
author
N. E.
Cho
Department of Applied Mathematics, College of Natural Sciences,
Pukyong National University, Busan 608-737, Korea.
author
text
article
2016
eng
It is known that the condition $mathfrak {Re} left{zf'(z)/f(z)right}>0$, $|z|<1$ is a sufficient condition for $f$, $f(0)=f'(0)-1$ to be starlike in $|z|<1$. The purpose of this work is to present some new sufficient conditions for univalence and starlikeness.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
4
no.
2016
933
939
http://bims.iranjournals.ir/article_845_7d14220cd3142ab48ef16685f5904494.pdf
On two problems concerning the Zariski topology of modules
H.
Ansari-Toroghy
Department of pure Mathematics,
Faculty of mathematical Sciences, University of Guilan,
P.O. Box 41335-19141, Rasht, Iran.
author
R.
Ovlyaee-Sarmazdeh
Department of pure Mathematics,
Faculty of mathematical Sciences, University of Guilan,
P.O. Box 41335-19141, Rasht, Iran.
author
Seyed Sajad
Pourmortazavi
Department of pure Mathematics,
Faculty of mathematical Sciences, University of Guilan,
P. O. Box 41335-19141 Rasht, Iran.
author
text
article
2016
eng
Let $R$ be an associative ring and let $M$ be a left $R$-module.Let $Spec_{R}(M)$ be the collection of all prime submodules of $M$ (equipped with classical Zariski topology). There is a conjecture which says that every irreducible closed subset of $Spec_{R}(M)$ has a generic point. In this article we give an affirmative answer to this conjecture and show that if $M$ has a Noetherian spectrum, then $Spec_{R}(M)$ is a spectral space.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
4
no.
2016
941
948
http://bims.iranjournals.ir/article_846_1769c60f5d1f171166300f224d7e2683.pdf
Complexes of $C$-projective modules
E.
Amanzadeh
Faculty of Mathematical Sciences and Computer,
Kharazmi University, Tehran, Iran.
author
M. T.
Dibaei
Faculty of Mathematical Sciences and Computer,
Kharazmi University, Tehran, Iran
and
School of Mathematics,
Institute for Research in Fundamental Sciences (IPM), P.O. Box
19395-5746, Tehran, Iran.
author
text
article
2016
eng
Inspired by a recent work of Buchweitz and Flenner, we show that, for a semidualizing bimodule $C$, $C$--perfect complexes have the ability to detect when a ring is strongly regular.It is shown that there exists a class of modules which admit minimal resolutions of $C$--projective modules.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
4
no.
2016
949
958
http://bims.iranjournals.ir/article_847_8072eb9287f684dfb94b1ec60af8979a.pdf
Hyperstability of some functional equation on restricted domain: direct and fixed point methods
A.
Bahyrycz
AGH University of Science and Technology, Faculty of Applied Mathematics, Mickiewicza 30, 30-059 Krakow, Poland.
author
text
article
2016
eng
The study of stability problems of functional equations was motivated by a question of S.M. Ulam asked in 1940. The first result giving answer to this question is due to D.H. Hyers. Subsequently, his result was extended and generalized in several ways.We prove some hyperstability results for the equation g(ax+by)+g(cx+dy)=Ag(x)+Bg(y)on restricted domain. Namely, we show, under some weak natural assumptions, that functions satisfying the above equation approximately (in some sense) must be actually solutions to it.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
4
no.
2016
959
974
http://bims.iranjournals.ir/article_848_f70737eade2a159a95d98ee8c93435c2.pdf
On statistical type convergence in uniform spaces
B. T.
Bilalov
Department of
Non-harmonic analysis, Institute of Mathematics and Mechanics of NAS of Azerbaijan, 9, B.Vahabzade Str., AZ 1141, Baku, Azerbaijan.
author
T. Y.
Nazarova
Department of
Non-harmonic analysis, Institute of Mathematics and Mechanics of NAS of Azerbaijan, 9, B. Vahabzade Str., AZ 1141, Baku, Azerbaijan.
author
text
article
2016
eng
The concept of ${mathscr{F}}_{st}$-fundamentality is introduced in uniform spaces, generated by some filter ${mathscr{F}}$. Its equivalence to the concept of ${mathscr{F}}$-convergence in uniform spaces is proved. This convergence generalizes many kinds of convergence, including the well-known statistical convergence.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
4
no.
2016
975
986
http://bims.iranjournals.ir/article_849_7288695c066460ba0ef6f0e26ae1a84a.pdf
Polynomial evaluation groupoids and their groups
H. S.
Kim
Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea.
author
P. J.
Allen
Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, USA.
author
J.
Neggers
Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, USA.
author
text
article
2016
eng
In this paper, we show how certain metabelian groups can be found within polynomial evaluation groupoids. We show that every finite abelian group can beobtained as a polynomial evaluation groupoid.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
4
no.
2016
987
997
http://bims.iranjournals.ir/article_850_1eb6e61f83e959712c8e2809e47d56a9.pdf
Strongly noncosingular modules
Y.
Alagöz
İzmir Institute of Technology, Department
of Mathematics, 35430, İzmir, Turkey.
author
Y.
Durğun
Bitlis Eren University, Department of Mathematics, 13000, Bitlis, Turkey.
author
text
article
2016
eng
An R-module M is called strongly noncosingular if it has no nonzero Rad-small (cosingular) homomorphic image in the sense of Harada. It is proven that (1) an R-module M is strongly noncosingular if and only if M is coatomic and noncosingular; (2) a right perfect ring R is Artinian hereditary serial if and only if the class of injective modules coincides with the class of (strongly) noncosingular R-modules; (3)absolutely coneat modules are strongly noncosingular if and only if R is a right Max-ring and injective modules are strongly noncosingular; (4) a commutative ring R is semisimple if and only if the class of injective modules coincides with the class of strongly noncosingular R-modules.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
4
no.
2016
999
1013
http://bims.iranjournals.ir/article_851_d18ecbcc8e8e4b588b255c42f726eb89.pdf
On certain semigroups of transformations that preserve double direction equivalence
L.
Deng
School of Mathematical Science, Guizhou Normal University, Guiyang 550001, China.
author
text
article
2016
eng
Let TX be the full transformation semigroups on the set X. For an equivalence E on X, let TE(X) = {α ∈ TX : ∀(x, y) ∈ E ⇔ (xα, yα) ∈ E}It is known that TE(X) is a subsemigroup of TX. In this paper, we discussthe Green's *-relations, certain *-ideal and certain Rees quotient semigroup for TE(X).
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
4
no.
2016
1015
1024
http://bims.iranjournals.ir/article_852_a64e6817281df6609cd01af3d32c5d45.pdf
From the Editor-in-Chief
text
article
2016
eng
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
42
v.
4
no.
2016
1025
1026
http://bims.iranjournals.ir/article_853_22686d0fab58cdee00a66c458eb8e1cd.pdf