Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 41 1 2015 02 01 Iterative algorithm for the generalized ‎\$‎(P‎,‎Q)‎\$‎-reflexive solution of a‎ ‎quaternion matrix equation with ‎\$‎j‎\$‎-conjugate of the unknowns 1 22 587 EN N. Li Shandong University of Finance and Economics Journal Article 2013 01 13 In the present paper‎, ‎we propose an iterative algorithm for‎ <br />‎solving the generalized \$(P,Q)\$-reflexive solution of the quaternion matrix‎ <br />‎equation \$overset{u}{underset{l=1}{sum}}A_{l}XB_{l}+overset{v} <br />‎{underset{s=1}{sum}}C_{s}widetilde{X}D_{s}=F\$‎. ‎By this iterative algorithm‎, <br />‎the solvability of the problem can be determined automatically‎. ‎When the‎ <br />‎matrix equation is consistent over a generalized \$(P,Q)\$-reflexive matrix \$X\$‎, ‎a‎ <br />‎generalized \$(P,Q)\$-reflexive solution can be obtained within finite iteration‎ <br />‎steps in the absence of roundoff errors‎, ‎and the least Frobenius norm‎ <br />‎generalized \$(P,Q)\$-reflexive solution can be obtained by choosing an‎ <br />‎appropriate initial iterative matrix‎. ‎Furthermore‎, ‎the optimal approximate‎ <br />‎generalized \$(P,Q)\$-reflexive solution to a given matrix \$X_{0}\$ can be‎ <br />‎derived by finding the least Frobenius norm generalized \$(P,Q)\$-reflexive‎ <br />‎solution of a new corresponding quaternion matrix equation‎. ‎Finally‎, ‎two‎ <br />‎numerical examples are given to illustrate the efficiency of the proposed methods‎. <br />  http://bims.iranjournals.ir/article_587_d3b1d745724dc512671e8aab4273eea4.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 41 1 2015 02 01 On ideals of ideals in \$C(X)\$ 23 41 588 EN F. Azarpanah - A‎. ‎R‎. ‎Olfati Chamran University‎, ‎Ahvaz‎, Journal Article 2013 04 15 In this article‎, ‎we have characterized ideals in \$C(X)\$ in which‎ <br />‎every ideal is also an ideal (a \$z\$-ideal) of \$C(X)\$‎. ‎Motivated by‎ <br />‎this characterization‎, ‎we observe that \$C_infty(X)\$ is a regular‎ <br />‎ring if and only if every open locally compact \$sigma\$-compact‎ <br />‎subset of \$X\$ is finite‎. ‎Concerning prime ideals‎, ‎it is shown that‎ <br />‎the sum of every two prime (semiprime) ideals of each ideal in‎ <br />‎\$C(X)\$ is prime (semiprime) if and only if \$X\$ is an \$F\$-space‎. <br />‎Concerning maximal ideals of an ideal‎, ‎we generalize the notion of‎ <br />‎separability to ideals and we have proved the coincidence of‎ <br />‎separability of an ideal with dense separability of a subspace of‎ <br />‎\$beta X\$‎. ‎Finally, we have shown that the Goldie dimension of an‎ <br />‎ideal \$I\$ in \$C(X)\$ coincide with the cellularity of‎ <br />‎\$XsetminusDelta (I)\$‎. http://bims.iranjournals.ir/article_588_8b401757cc747587b6c015c12346320e.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 41 1 2015 02 01 The continuity of linear and sublinear correspondences defined on cones 43 55 593 EN M. Aghajani K.N. Toosi University of Technology K. Nourouzi K.N. Toosi University of Technology D. ÓRegan National University of Ireland Journal Article 2012 12 13 In this paper, we investigate the continuity of linear and sublinear correspondences defined on<br /> cones in normed spaces. We also generalize some known results for sublinear correspondences. http://bims.iranjournals.ir/article_593_c6ba89a04e2a91caadf240efa0328257.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 41 1 2015 02 01 Some properties of a class of polyhedral semigroups based upon the subword reversing method 57 63 589 EN M. Minisker Mustafa Kemal University Department of Mathematics Journal Article 2013 09 25 In this paper a certain class of polyhedral semigroups which has a presentation \$<a‎, ‎b mid a^{2n}=b^{2n}=(ab)^{n}>\$ is examined‎. ‎The completeness of the presentation and solvability of word problem of this class of semigroups is determined‎. ‎Moreover the combinatorial distance between two words is determined‎. http://bims.iranjournals.ir/article_589_e3fbd66b4893953e73be77cbbe9ce05c.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 41 1 2015 02 01 Detection of a nontrivial element in the stable homotopy groups of spheres 65 85 590 EN H. Yu South China Normal University Y. Kou South China Normal University H. Zhao South China Normal University Journal Article 2013 09 24 ‎Let \$p\$ be a prime with \$pgeq 7\$ and \$q=2(p-1)\$‎. ‎In this paper‎ <br />‎we prove the existence of a nontrivial product of‎ <br />‎filtration \$s+4\$ in the stable homotopy groups of spheres‎. ‎This nontrivial‎ <br />‎product is shown to be represented up to a nonzero scalar by‎ <br />‎the product element \$widetilde{gamma}_{s}b_{n-1}g_{0}in‎ <br />‎{Ext}_{mathcal{A}}^{s+4,(p^n+sp^2+sp+s)q+s-3}(mathbb{Z}/p,mathbb{Z}/p)\$‎ <br />‎in the Adams spectral sequence where \$ngeq 2\$ and \$3leq sleq p-1\$‎.  http://bims.iranjournals.ir/article_590_85ba0e058a40f200e803319d8a76cec7.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 41 1 2015 02 01 The inﬂuence of S-embedded subgroups on the structure of ﬁnite groups 87 100 603 EN J Li Chongqing University of Arts and Sciences, P R China W. Shi Chongqing University of Arts and Sciences D. Yu Chongqing University of Arts and Sciences Journal Article 2013 04 02 Let H be a subgroup of a group G. H is said to be S-embedded in G if G has a normal <br />T such that HT is an S-permutable subgroup of G and H ∩ T ≤ H <br />sG, where H denotes the subgroup generated by all those subgroups of H which are S-permutable in G. In this paper, we investigate the inﬂuence of minimal S-embedded subgroups on the structure of ﬁnite groups. We determine the structure the ﬁnite groups with some minimal S-embedded subgroups. We also give <br />some new characterizations of p-nilpotency of ﬁnite groups in terms of S-embedding property. As applications, some previous known results are generalized. http://bims.iranjournals.ir/article_603_1e5a0147e3dd5c95ac6a68807f37a3d4.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 41 1 2015 02 01 On the eigenvalues of normal edge-transitive Cayley graphs 101 107 592 EN M. Ghorbani Shahid Rajaee Teacher Training University Journal Article 2013 05 18 A graph \$Gamma\$ is said to be vertex-transitive or edge‎- ‎transitive‎ <br />‎if the automorphism group of \$Gamma\$ acts transitively on \$V(Gamma)\$ or \$E(Gamma)\$‎, ‎respectively‎. <br />‎Let \$Gamma=Cay(G,S)\$ be a Cayley graph on \$G\$ relative to \$S\$‎. ‎Then, \$Gamma\$ is said to be normal edge-transitive‎, <br />‎if \$N_{Aut(Gamma)}(G)\$ acts transitively on edges‎. <br />‎In this paper‎, ‎the eigenvalues of normal edge-transitive Cayley graphs of the groups \$D_{2n}\$ and \$T_{4n}\$ are given‎.  http://bims.iranjournals.ir/article_592_ae5f0b2ad69282e3e8f70f5873d4a9cd.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 41 1 2015 02 01 Strictly Kähler-Berwald manifolds with constant‎ ‎holomorphic sectional curvature 109 120 591 EN X. Chen School of Mathematical sciences, Xiamen university R. Yan School of Mathemtical sciences, Xiamen university Journal Article 2012 05 24 In this paper‎, ‎the‎ <br />‎authors prove that a strictly Kähler-Berwald manifold with‎ <br />‎nonzero constant holomorphic sectional curvature must be a‎ <br />Kähler manifold‎.  http://bims.iranjournals.ir/article_591_b9a0e0046a139b2001f811bdf8f8a8a6.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 41 1 2015 02 01 Supercyclic tuples of the adjoint weighted composition operators on Hilbert spaces 121 139 600 EN Y. X. Liang Tianjin Normal University Z. H. Zhou Department of Mathematics, Tianjin University Journal Article 2013 03 31 We give some sufficient conditions under which the tuple of the adjoint of weighted composition operators \$(C_{omega_1,varphi_1}^*‎ , ‎C_{omega_2,varphi_2}^*)\$ on the Hilbert space \$mathcal{H}\$ of analytic functions is supercyclic‎. http://bims.iranjournals.ir/article_600_6d1c998b395dc1565dd2c846c6c74e92.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 41 1 2015 02 01 Optimal asset control of the diffusion model under consideration of the time value of ruin 141 158 594 EN H. Dai Guangxi University C. Tang Guangxi University of Finance and Economics Journal Article 2013 03 03 ‎In this paper‎, ‎we consider the optimal asset control of a financial company which can control its liquid reserves by paying dividends and by issuing new equity‎. ‎We assume that the liquid surplus of the company in the absence of control is modeled by the diffusion model‎. ‎It is a hot topic to maximize the expected present value of dividends payout minus equity issuance until the time of bankruptcy‎. ‎We study this problem under consideration of the time value of ruin‎. ‎By constructing two categories of suboptimal models‎, one with classical model without equity issuance, and the other which never goes bankrupt by equity issuance,‎ ‎the optimal problem is addressed‎. ‎At the end‎, ‎some numerical examples and interesting economic interpretations are presented‎. http://bims.iranjournals.ir/article_594_47a7d6a93e62f77f04be6701ab83e08a.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 41 1 2015 02 01 The category of monoid actions in Cpo 159 175 595 EN M. Mahmoudi Professor of Mathematics of Shahid Beheshti University H. Moghbeli-Damaneh PhD student at the Department of Mathematics of Shahid Beheshti University Journal Article 2013 07 30 In this paper, some categorical properties of the category \${bf <br />Cpo}_{{bf Act}text{-}S}\$ of all {cpo \$S\$-acts}, cpo's equipped <br />with actions of a monoid \$S\$ on them, and strict continuous <br />action-preserving maps between them is considered. In particular, <br />we describe products and coproducts in this category, and <br />consider monomorphisms and epimorphisms. Also, we show that the <br />forgetful functor from \${bf Cpo}_{{bf Act}text{-}S}\$ to the <br />category of cpo's has both a left and a right adjoint. http://bims.iranjournals.ir/article_595_990da986cde9498bd05410f7b514ebda.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 41 1 2015 02 01 Almost multiplicative linear functionals and approximate spectrum 177 187 596 EN E. Anjidani Department of Mathematics, University of Neyshabur Journal Article 2012 12 19 We define a new type of spectrum, called δ-approximate spectrum, of an element a in a complex unital Banach algebra A and show that the δ-approximate spectrum σ_δ (a) of a is compact. The relation between the δ-approximate spectrum and the usual spectrum is investigated. Also an analogue of the classical Gleason-Kahane-Zelazko theorem is established: For each ε>0, there is δ>0 such that if ϕ is a linear functional with ϕ(a)∈σ_δ (a) for all a∈A, then ϕ is ε-almost multiplicative. Finally, we use these ideas to provide a sufficient condition for a δ-almost multiplicative functional to be multiplicative. http://bims.iranjournals.ir/article_596_bec59d33577ac7d73d2c66407e9eec46.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 41 1 2015 02 01 On the oriented perfect path double cover conjecture 189 200 597 EN B. Bagheri Gh. Isfahan University of Technology B. Omoomi Journal Article 2012 12 15 ‎An  oriented perfect path double cover (OPPDC) of a‎ <br />‎graph \$G\$ is a collection of directed paths in the symmetric‎ <br />‎orientation \$G_s\$ of‎ <br />‎\$G\$ such that‎ <br />‎each arc‎ <br />‎of \$G_s\$ lies in exactly one of the paths and each‎ <br />‎vertex of \$G\$ appears just once as a beginning and just once as an‎ <br />‎end of a path‎. ‎Maxov{'a} and Ne{v{s}}et{v{r}}il (Discrete‎ <br />‎Math‎. ‎276 (2004) 287-294) conjectured that every graph except‎ <br />‎two complete graphs \$K_3\$ and \$K_5\$ has an   OPPDC and they‎ <br />‎claimed that the minimum degree of the minimal counterexample to‎ <br />‎this conjecture is at least four‎. ‎In the proof of their claim‎, ‎when a graph is smaller than the minimal counterexample‎, ‎they missed to consider the special cases \$K_3\$ and \$K_5\$‎. ‎In this paper‎, ‎among some‎ <br />‎other results‎, ‎we present the complete proof for this fact‎. ‎Moreover‎, ‎we prove that the minimal counterexample to this‎ <br />‎conjecture is \$2\$-connected and \$3\$-edge-connected‎. http://bims.iranjournals.ir/article_597_a931117b555271ee48028056b0d0101b.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 41 1 2015 02 01 The symmetric two-step P-stable nonlinear predictor-corrector‎ ‎methods for the numerical solution of second order‎ ‎initial value problems 201 215 601 EN A. Shokri Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran Journal Article 2013 07 21 In this paper‎, ‎we propose a modification of the second order method‎ <br />‎introduced in [‎‎Q. Li and ‎X‎. ‎Y. ‎Wu‎, A two-step explicit \$P\$-stable method for solving second order initial value problems‎, ‎textit{‎Appl‎. ‎Math‎. ‎Comput‎.}‎ {‎138}‎ (2003)‎, no. 2-3, <br />‎435--442‎] for the numerical solution of‎ <br />‎IVPs for second order ODEs‎. ‎The numerical results obtained by the‎ <br />‎new method for some problems show its superiority in efficiency‎, <br />‎accuracy and stability‎.‎‎ http://bims.iranjournals.ir/article_601_887ac07814abac5ed77af1832d56e7c7.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 41 1 2015 02 01 On graded classical prime and graded prime submodules 217 225 598 EN K. Al-Zoubi Jordan University of Science and Technology M. Jaradat Jordan University of Science and Technology, P.O.Box 3030, Irbid, Jordan R. Abu-Dawwas Yarmouk University, Irbid , Jordan Journal Article 2013 09 21 ‎Let \$G\$ be a group with identity \$e.\$ Let \$R\$ be a \$G\$-graded‎ <br />‎commutative ring and \$M\$ a graded \$R\$-module‎. ‎In this paper‎, ‎we‎ <br />‎introduce several results concerning graded classical prime‎ <br />‎submodules‎. ‎For example‎, ‎we give a characterization of graded‎ <br />‎classical prime submodules‎. ‎Also‎, ‎the relations between graded‎ <br />‎classical prime and graded prime submodules of \$M\$ are studied‎.‎ http://bims.iranjournals.ir/article_598_4dd3ba6468b930d4ee8608ff457e8457.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 41 1 2015 02 01 ‎Bounded approximate connes-amenability of dual Banach algebras 227 238 599 EN A. Mahmoodi Islamic Azad University, Central Tehran Branch null Journal Article 2012 05 31  We study the notion of bounded approximate Connes-amenability for‎ <br />‎dual Banach algebras and characterize this type of algebras in terms‎ <br />‎of approximate diagonals‎. ‎We show that bounded approximate‎ <br />‎Connes-amenability of dual Banach algebras forces them to be unital‎. <br />‎For a separable dual Banach algebra‎, ‎we prove that bounded‎ <br />‎approximate Connes-amenability implies sequential approximate‎ <br />‎Connes-amenability‎.‎ http://bims.iranjournals.ir/article_599_13d35cba7517469d79fb3466b2a1511d.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 41 1 2015 02 01 \$LG\$-topology 239 258 604 EN A. R. Aliabad Chamran University, Ahvaz‎, A. Sheykhmiri Shahid Chamran University of Ahvaz Journal Article 2013 10 31 In this paper‎, ‎we introduce a new model of point free topology‎ <br />‎for point-set topology‎. ‎We study the basic concepts in this‎ <br />‎structure and will find that it is naturally close to point-set‎ <br />‎topology‎.‎ http://bims.iranjournals.ir/article_604_4e088485fa8366a329cfd854b0a5001d.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 41 1 2015 02 01 Weighted composition operators on measurable differential‎ ‎form spaces 259 267 605 EN M. R. Jabbarzadeh faculty of mathematical sciences, university of tabriz F. Talebi Tabriz University (Ph. D student) Journal Article 2013 05 18 In this paper, we consider weighted composition operators between<br />measurable differential forms and then<br /> some classic properties of these operators are characterized. http://bims.iranjournals.ir/article_605_532b70f6a67cbcb1e36afb525cf3e202.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 41 1 2015 02 01 Multiple solutions for a perturbed Navier boundary value problem involving the \$p\$-biharmonic 269 280 606 EN L. Ding Hubei University of Arts and Science Journal Article 2013 12 26 The aim of this article is to establish the existence of at least three‎ <br />‎solutions for a perturbed \$p\$-biharmonic equation depending on two‎ <br />‎real parameters‎. ‎The approach is based on variational methods‎. http://bims.iranjournals.ir/article_606_eab15c0fadca6127377284f5fa080088.pdf
Iranian Mathematical Society (IMS) Bulletin of the Iranian Mathematical Society 1017-060X 41 1 2015 02 01 On meromorphic solutions of certain type of difference equations 281 289 607 EN X. Qi University of Jinan, School of Mathematics Y. Liu Department of Mathematics, University of Jinan L. Yang Department of Mathematics,Shandong University Journal Article 2013 02 08 ‎We mainly discuss the existence of meromorphic (entire) solutions of‎ <br />‎certain type of non-linear difference equation of the form‎: <br />‎\$f(z)^m+P(z)f(z+c)^n=Q(z)\$‎, ‎which is a supplement of previous‎ <br />‎results in [K‎. ‎Liu‎, ‎L. Z‎. ‎Yang and X‎. ‎L‎. ‎Liu‎, ‎Existence of entire solutions of nonlinear difference‎ <br />‎equations‎, ‎Czechoslovak Math. J. 61 (2011)‎, no. 2, ‎565--576‎, and X‎. ‎G‎. ‎Qi‎, <br />‎Value distribution and uniqueness of difference polynomials and‎ <br />‎entire solutions of difference equations‎, ‎ Ann‎. ‎Polon‎. ‎Math. http://bims.iranjournals.ir/article_607_13646b482767ce8701ff3d6ab7c2b254.pdf