Central Tehran Branch. IAUJournal of Linear and Topological Algebra (JLTA)2252-0201020320130901Derivations in semiprime rings and Banach algebras129135510014ENSh. SahebiDepartment of Mathematics, Islamic Azad University, Central Tehran Branch,
P. O. Box 14168-94351, Tehran, IranV. RahmaniDepartment of Mathematics, Islamic Azad University, Central Tehran Branch,
P. O. Box 14168-94351, Tehran, Iran201504110$ are fixed integers. We show that if $R$ admits derivation $d$ such that $b[[d(x), x]_n,[y,d(y)]_m]=0$ for all $x,yin R$ where $0neq bin R$, then there exists a central idempotent element $e$ of $U$ such that $eU$ is commutative ring and $d$ induce a zero derivation on $(1-e)U$. We also obtain some related result in case $R$ is a non-commutative Banach algebra and d continuous or spectrally bounded.]]>http://jlta.iauctb.ac.ir/article_510014_c0ecf3a2d537d24ca2b30bd50175a60b.pdfCentral Tehran Branch. IAUJournal of Linear and Topological Algebra (JLTA)2252-0201020320130901Some results of semilocally simply connected property137143510015ENA. Etemad DehkordyaDepartment of Mathematical sciences, Isfahan University of Technology, Isfahan, IranM. Malek MohamadDepartment of Mathematical sciences, Isfahan University of Technology, Isfahan, Iran20150411http://jlta.iauctb.ac.ir/article_510015_5062cb9c7c690e38b9dca1a0455c2dff.pdfCentral Tehran Branch. IAUJournal of Linear and Topological Algebra (JLTA)2252-0201020320130901A generalization of Bertrand's test145151510016ENA. A. Tabatabai AdnaniIslamic Azad University, Central Tehran Branch, Tehran, IranA. RezaIslamic Azad University, Central Tehran Branch, Tehran, IranM. MorovatiSchool of Automotive Engineering, Iran University of Science and Technology, Tehran, Iran20150411 2. It is also shown that for any k, there exists a series such that the Bertrand's test of order fails, but such test of order k + 1 is useful, furthermore we show that there exists a series such that for any k, Bertrand's test of order k fails. The only prerequisite for reading this article is a standard knowledge of advanced calculus.]]>http://jlta.iauctb.ac.ir/article_510016_819b520d1a7e6d00b75db94497f5b7f8.pdfCentral Tehran Branch. IAUJournal of Linear and Topological Algebra (JLTA)2252-0201020320130901On the Finite Groupoid G(n)153159510017ENM. AzadiDepartment of Mathematics, Islamic Azad University, Centeral Tehran Branch, Tehran, IranH. AmadiDepartment of Mathematics, Islamic Azad University, Centeral Tehran Branch, Tehran, Iran20150411http://jlta.iauctb.ac.ir/article_510017_fb1252dd8598780a6b0d040a37bee02a.pdfCentral Tehran Branch. IAUJournal of Linear and Topological Algebra (JLTA)2252-0201020320130901OD-characterization of $S_4(4)$ and its group of automorphisms161166510018ENP. NosratpourDepartment of mathematics, Ilam Branch, Islamic Azad university, Ilam, Iran20150411http://jlta.iauctb.ac.ir/article_510018_04b780588dcc071ae9418ffe0226bd47.pdfCentral Tehran Branch. IAUJournal of Linear and Topological Algebra (JLTA)2252-0201020320130901On the nonnegative inverse eigenvalue problem of traditional matrices167174510019ENA. M. NazariDepartment of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, IranS. Kamali MaherDepartment of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran20150411http://jlta.iauctb.ac.ir/article_510019_85f53f76519a196781fdc2d15d2801fc.pdfCentral Tehran Branch. IAUJournal of Linear and Topological Algebra (JLTA)2252-0201020320130901Some properties of band matrix and its application to the numerical solution one-dimensional Bratu's problem175189510020ENR. JalilianDepartment of Mathematics, Razi University Tagh Bostan, Kermanshah P.O. Box 6714967346 IranY. JalilianDepartment of Mathematics, Razi University Tagh Bostan, Kermanshah P.O. Box 6714967346 IranH. JalilianSchool of Mathematics, Iran University of Science and Technology Narmak, Tehran 16844, Iran20150411http://jlta.iauctb.ac.ir/article_510020_df91852bd2fbf4c39cb43b01bc47efbb.pdf