ORIGINAL_ARTICLE FINITE GROUPS WITH FIVE NON-CENTRAL CONJUGACY CLASSES ‎Let G be a finite group and Z(G) be the center of G‎. ‎For a subset A of G‎, ‎we define kG(A)‎, ‎the number of conjugacy classes of G that intersect A non-trivially‎. ‎In this paper‎, ‎we verify the structure of all finite groups G which satisfy the property kG(G-Z(G))=5, and classify them‎. http://jas.shahroodut.ac.ir/article_850_f26adfb749347531a3cb078626440a73.pdf 2017-01-01T11:23:20 2019-05-22T11:23:20 85 95 10.22044/jas.2017.850 ‎Finite group‎ ‎Frobenius group‎ ‎Conjugacy class M. Rezaei mehdrezaei@gmail.com true 1 Department of Mathematics, Buein Zahra Technical University, Buein Zahra, Qazvin, Iran. Department of Mathematics, Buein Zahra Technical University, Buein Zahra, Qazvin, Iran. Department of Mathematics, Buein Zahra Technical University, Buein Zahra, Qazvin, Iran. LEAD_AUTHOR Z. Foruzanfar zforouzanfar@gmail.com true 2 Buein Zahra Technical University, Buein Zahra, Qazvin, Iran. Buein Zahra Technical University, Buein Zahra, Qazvin, Iran. Buein Zahra Technical University, Buein Zahra, Qazvin, Iran. AUTHOR
ORIGINAL_ARTICLE FUZZY OBSTINATE IDEALS IN MV-ALGEBRAS In this paper, we introduce the notion of fuzzy obstinate ideals in MV -algebras. Some properties of fuzzy obstinateideals are given. Not only we give some characterizations of fuzzy obstinate ideals, but also bring the extension theorem of fuzzy obstinate ideal of an MV -algebra A. We investigate the relationships between fuzzy obstinate ideals and the other fuzzy ideals of an MV -algebra. We describe the transfer principle for fuzzy obstinate ideals in terms of level subsets. In addition, we show that if Μ is a fuzzy obstinate ideal of A such that M(0) 2 [0; 1=2], then A=Μ is a Boolean algebra. Finally, we define the notion of a normal fuzzy obstinate ideal and investigate some of its properties. http://jas.shahroodut.ac.ir/article_851_08ccea2270f1cc3558fbf666ad8998c9.pdf 2017-01-01T11:23:20 2019-05-22T11:23:20 97 101 10.22044/jas.2017.851 MV-algebra fuzzy normal fuzzy obstinate fuzzy Boolean F. Forouzesh ffrouzesh@yahoo.com true 1 Faculty of Mathematics and Computing, Higher Education Complex of Bam, Ker- man, Iran Faculty of Mathematics and Computing, Higher Education Complex of Bam, Ker- man, Iran Faculty of Mathematics and Computing, Higher Education Complex of Bam, Ker- man, Iran LEAD_AUTHOR
ORIGINAL_ARTICLE RADICAL OF FILTERS IN RESIDUATED LATTICES ‎In this paper‎, ‎the notion of the radical of a filter in‎ ‎residuated lattices is defined and several characterizations of‎ ‎the radical of a filter are given‎. ‎We show that if F is a‎ ‎positive implicative filter (or obstinate filter)‎, ‎then‎ ‎Rad(F)=F‎. ‎We proved the extension theorem for radical of filters in residuated lattices‎. ‎Also‎, ‎we study the radical‎ ‎of filters in linearly ordered residuated lattices‎. http://jas.shahroodut.ac.ir/article_852_9a18ec2a81ec3a16def3083c7ce891e7.pdf 2017-01-01T11:23:20 2019-05-22T11:23:20 111 121 10.22044/jas.2017.852 ‎(Maximal) Prime filter‎ ‎Radical‎ ‎Residuated‎ ‎lattice S. Motamed somayeh.motamed@iauba.ac.ir true 1 Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran. Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran. Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran. LEAD_AUTHOR
ORIGINAL_ARTICLE REES SHORT EXACT SEQUENCES OF S-POSETS In this paper the notion of Rees short exact sequence for S-posets is introduced, and we investigate the conditions for which these sequences are left or right split. Unlike the case for S-acts, being right split does not imply left split. Furthermore, we present equivalent conditions of a right S-poset P for the functor Hom(P;-) to be exact. http://jas.shahroodut.ac.ir/article_853_51ae2012410695a2524b1b1489d9be5d.pdf 2017-01-01T11:23:20 2019-05-22T11:23:20 123 134 10.22044/jas.2017.853 S-posets pomonoids Rees short exact sequence projective R. Khosravi khosravi@fasau.ac.ir true 1 Department of Mathematics, Fasa University, P.O.Box 74617-81189, Fasa, Iran. Department of Mathematics, Fasa University, P.O.Box 74617-81189, Fasa, Iran. Department of Mathematics, Fasa University, P.O.Box 74617-81189, Fasa, Iran. LEAD_AUTHOR
ORIGINAL_ARTICLE MORE ON EDGE HYPER WIENER INDEX OF GRAPHS ‎Let G=(V(G),E(G)) be a simple connected graph with vertex set V(G) and edge‎ ‎set E(G)‎. ‎The (first) edge-hyper Wiener index of the graph G is defined as‎: ‎$$WW_{e}(G)=\sum_{\{f,g\}\subseteq E(G)}(d_{e}(f,g|G)+d_{e}^{2}(f,g|G))=\frac{1}{2}\sum_{f\in E(G)}(d_{e}(f|G)+d^{2}_{e}(f|G)),$$‎ ‎where de(f,g|G) denotes the distance between the edges f=xy and g=uv in E(G) and de(f|G)=∑g€(G)de(f,g|G). ‎In this paper we use a method‎, ‎which applies group theory to graph theory‎, ‎to improving‎ ‎mathematically computation of the (first) edge-hyper Wiener index in certain graphs‎. ‎We give also upper and lower bounds for the (first) edge-hyper Wiener index of a graph in terms of its size and Gutman index‎. ‎Also we investigate products of two or more graphs and compute the second edge-hyper Wiener index of the some classes of graphs‎. ‎Our aim in last section is to find a relation between the third edge-hyper Wiener index of a general graph and the hyper Wiener index of its line graph‎. of two or more graphs and compute edge-hyper Wiener number of some classes of graphs‎. http://jas.shahroodut.ac.ir/article_854_2486403d0b8da2a0bb248f7cd1fcd96b.pdf 2017-01-01T11:23:20 2019-05-22T11:23:20 135 153 10.22044/jas.2017.854 Edge-hyper Wiener index‎ ‎line graph‎ ‎Gutman index‎ ‎connectivity‎ ‎edge-transitive graph A. Alhevaz a.alhevaz@gmail.com true 1 Department of Mathematics, Shahrood University of Technology, P.O. Box: 316- 3619995161, Shahrood, Iran. Department of Mathematics, Shahrood University of Technology, P.O. Box: 316- 3619995161, Shahrood, Iran. Department of Mathematics, Shahrood University of Technology, P.O. Box: 316- 3619995161, Shahrood, Iran. LEAD_AUTHOR M. Baghipur maryamb8989@gmail.com true 2 Department of Mathematics, Shahrood University of Technology, P.O. Box: 316- 3619995161, Shahrood, Iran. Department of Mathematics, Shahrood University of Technology, P.O. Box: 316- 3619995161, Shahrood, Iran. Department of Mathematics, Shahrood University of Technology, P.O. Box: 316- 3619995161, Shahrood, Iran. AUTHOR
ORIGINAL_ARTICLE THE ZERO-DIVISOR GRAPH OF A MODULE Let R be a commutative ring with identity and M an R-module. In this paper, we associate a graph to M, sayΓ(RM), such that when M=R, Γ(RM) coincide with the zero-divisor graph of R. Many well-known results by D.F. Anderson and P.S. Livingston have been generalized for Γ(RM). We Will show that Γ(RM) is connected withdiam Γ(RM)≤ 3 and if Γ(RM) contains a cycle, then Γ(RM)≤4. We will also show that Γ(RM)=Ø if and only if M is aprime module. Among other results, it is shown that for a reduced module M satisfying DCC on cyclic submodules,gr (Γ(RM))=∞ if and only if Γ(RM) is a star graph. Finally, we study the zero-divisor graph of freeR-modules.  http://jas.shahroodut.ac.ir/article_858_dc9a03e1918e0e0bd28530d1103281ff.pdf 2017-01-01T11:23:20 2019-05-22T11:23:20 155 171 10.22044/jas.2017.858 Annilhilator diameter girth reduced module zero-divisor graph A. Naghipour naghipourar@yahoo.com true 1 Department of Mathematics, Shahrekord University, P.O. Box 115, Shahrekord, Iran. Department of Mathematics, Shahrekord University, P.O. Box 115, Shahrekord, Iran. Department of Mathematics, Shahrekord University, P.O. Box 115, Shahrekord, Iran. LEAD_AUTHOR