Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41120150201Iterative algorithm for the generalized $(P,Q)$-reflexive solution of a quaternion matrix equation with $j$-conjugate of the unknowns122587ENN.LiShandong University of Finance and EconomicsJournal Article20130113In 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41120150201On ideals of ideals in $C(X)$2341588ENF.Azarpanah-A. R.OlfatiChamran University, Ahvaz,Journal Article20130415In 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41120150201The continuity of linear and sublinear correspondences defined on cones4355593ENM.AghajaniK.N. Toosi University of TechnologyK.NourouziK.N. Toosi University of TechnologyD.ÓReganNational University of IrelandJournal Article20121213In 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41120150201Some properties of a class of polyhedral semigroups based upon the subword reversing method5763589ENM.MiniskerMustafa Kemal University Department of MathematicsJournal Article20130925In 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41120150201Detection of a nontrivial element in the stable homotopy groups of spheres6585590ENH.YuSouth China Normal UniversityY.KouSouth China Normal UniversityH.ZhaoSouth China Normal UniversityJournal Article20130924Let $p$ be a prime with $p\geq 7$ 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 $n\geq 2$ and $3\leq s\leq p-1$. http://bims.iranjournals.ir/article_590_85ba0e058a40f200e803319d8a76cec7.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41120150201The inﬂuence of S-embedded subgroups on the structure of ﬁnite groups87100603ENJLiChongqing University of Arts and Sciences, P R ChinaW.ShiChongqing University of Arts and SciencesD.YuChongqing University of Arts and SciencesJournal Article20130402Let 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41120150201On the eigenvalues of normal edge-transitive Cayley graphs101107592ENM.GhorbaniShahid Rajaee Teacher Training UniversityJournal Article20130518A 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41120150201Strictly Kähler-Berwald manifolds with constant holomorphic sectional curvature109120591ENX.ChenSchool of Mathematical sciences, Xiamen universityR.YanSchool of Mathemtical sciences, Xiamen universityJournal Article20120524In 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41120150201Supercyclic tuples of the adjoint weighted composition operators on Hilbert spaces121139600ENY. X.LiangTianjin Normal UniversityZ. H.ZhouDepartment of Mathematics, Tianjin UniversityJournal Article20130331We 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41120150201Optimal asset control of the diffusion model under consideration of the time value of ruin141158594ENH.DaiGuangxi UniversityC.TangGuangxi University of Finance and EconomicsJournal Article20130303In 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41120150201The category of monoid actions in Cpo159175595ENM.MahmoudiProfessor of Mathematics of Shahid Beheshti UniversityH.Moghbeli-DamanehPhD student at the Department of Mathematics of Shahid Beheshti UniversityJournal Article20130730In 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41120150201Almost multiplicative linear functionals and approximate spectrum177187596ENE.AnjidaniDepartment of Mathematics, University of NeyshaburJournal Article20121219We 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41120150201On the oriented perfect path double cover conjecture189200597ENB.Bagheri Gh.Isfahan University of TechnologyB.OmoomiJournal Article20121215An 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41120150201The symmetric two-step P-stable nonlinear predictor-corrector methods for the numerical solution of second order initial value problems201215601ENA.ShokriFaculty of Mathematical Science, University of Maragheh, Maragheh, IranJournal Article20130721In 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41120150201On graded classical prime and graded prime submodules217225598ENK.Al-ZoubiJordan University of Science and TechnologyM.JaradatJordan University of Science and Technology, P.O.Box 3030, Irbid, JordanR.Abu-DawwasYarmouk
University, Irbid , JordanJournal Article20130921Let $G$ 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41120150201Bounded approximate connes-amenability of dual Banach algebras227238599ENA.MahmoodiIslamic Azad University, Central Tehran BranchnullJournal Article20120531 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41120150201$LG$-topology239258604ENA.R. AliabadChamran University, Ahvaz,A.SheykhmiriShahid Chamran University of AhvazJournal Article20131031In 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41120150201Weighted composition operators on measurable differential form spaces259267605ENM. R.Jabbarzadehfaculty of mathematical sciences, university of tabrizF.TalebiTabriz University (Ph. D student)Journal Article20130518In 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41120150201Multiple solutions for a perturbed Navier boundary value problem involving the $p$-biharmonic269280606ENL.DingHubei University of Arts and ScienceJournal Article20131226The 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41120150201On meromorphic solutions of certain type of difference equations281289607ENX.QiUniversity of Jinan, School of MathematicsY.LiuDepartment of Mathematics, University of JinanL.YangDepartment of
Mathematics,Shandong UniversityJournal Article20130208We 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