UPPER BOUNDS FOR FINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES
Moharram
Aghapournahr
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran.
author
text
article
2013
eng
Let $R$ be a commutative Noetherian ring with non-zero identity and $a$ an ideal of $R$. Let $M$ be a finite $R$--moduleof finite projective dimension and $N$ an arbitrary finite $R$--module. We characterize the membership of the generalized local cohomology modules $H^{i}_{a}(M,N)$ in certain Serre subcategories of the category of modules from upper bounds. We define and study the properties of a generalization of cohomological dimension of generalized local cohomology modules. Let $\mathcal S$ be a Serre subcategory of the category of $R$--modules and $n > pd M$ be an integer such that $H^{i}_{a}(M,N)$ belongs to $\mathcal S$ for all $i> n$. Then, for any ideal $b\supseteq a$, it is also shown that the module $H^{n}_{a}(M,N)/{b}H^{n}_{a}(M,N)$ belongs to $\mathcal S$.
Journal of Algebraic Systems
Shahrood University of Technology
2345-5128
1
v.
1
no.
2013
1
9
http://jas.shahroodut.ac.ir/article_169_c37d47751d382a040ab25cdfc4d74ec6.pdf
dx.doi.org/10.22044/jas.2013.169
f-DERIVATIONS AND (f; g)-DERIVATIONS OF MV -ALGEBRAS
L.
Kamali Ardakani
Department of Mathematics, Yazd University, Yazd, Iran.
author
Bijan
Davvaz
Department of Mathematics, Yazd University, Yazd, Iran.
author
text
article
2013
eng
Recently, the algebraic theory of MV -algebras is intensively studied. In this paper, we extend the concept of derivation of $MV$-algebras and we give someillustrative examples. Moreover, as a generalization of derivations of $MV$ -algebraswe introduce the notion of $f$-derivations and $(f; g)$-derivations of $MV$-algebras.Also, we investigate some properties of them.
Journal of Algebraic Systems
Shahrood University of Technology
2345-5128
1
v.
1
no.
2013
11
31
http://jas.shahroodut.ac.ir/article_167_3a68dccc76e6f69f9a0255ccc7a9453a.pdf
dx.doi.org/10.22044/jas.2013.167
NETS AND SEPARATED S-POSETS
Mahdieh
Haddadi
Department of Mathematics, Faculty of Mathematics, Statistics and computer science, Semnan University, Semnan, Iran.
author
text
article
2013
eng
Nets, useful topological tools, used to generalize certain concepts that may only be general enough in the context of metricspaces. In this work we introduce this concept in an $S$-poset, a poset with an action of a posemigroup $S$ on it whichis a very useful structure in computer sciences and interesting for mathematicians, and give the the concept of $S$-net. Using $S$-nets and its convergency we also give some characterizations of separated $S$-posets. Also, introducing the net-closure operators, we investigate the counterparts of topological separation axioms on $S$-posets and study their relation to separated $S$-posets.
Journal of Algebraic Systems
Shahrood University of Technology
2345-5128
1
v.
1
no.
2013
33
43
http://jas.shahroodut.ac.ir/article_166_38e125e00d02238374d1cc0c2152786e.pdf
dx.doi.org/10.22044/jas.2013.166
SOLVABILITY OF FREE PRODUCTS, CAYLEY GRAPHS AND COMPLEXES
Hanieh
Mirebrahimi
Department of pure Mathematics, Ferdowsi University of Mashhad, P.O.Box 1159-91775 Mashhad, Iran
author
Fatemeh
Ghanei
Department of pure Mathematics, Ferdowsi University of Mashhad, P.O.Box 1159-91775 Mashhad, Iran
author
text
article
2013
eng
In this paper, we verify the solvability of free product of finite cyclic groups with topological methods. We use Cayley graphs and Everitt methods to construct suitable 2-complexes corresponding to the presentations of groups and their commutator subgroups. In particular, using these methods, we prove that the commutator subgroup of ${Z}_{m}*{Z}_{n}$ is free of rank $(m-1)(n-1)$ for all $m,n\geq2$
Journal of Algebraic Systems
Shahrood University of Technology
2345-5128
1
v.
1
no.
2013
45
52
http://jas.shahroodut.ac.ir/article_165_76e847bc1b83709351833bc141c00f5a.pdf
dx.doi.org/10.22044/jas.2013.165
ON SELBERG-TYPE SQUARE MATRICES INTEGRALS
Mohammad
Arashi
Department of Statistics
School of Mathematics,
Shahrood University of Technology,
Shahrood, Iran.
author
text
article
2013
eng
In this paper we consider Selberg-type square matrices integrals with focus on Kummer-beta types I & II integrals. For generality of the results for real normed division algebras, the generalized matrix variate Kummer-beta types I & II are defined under the abstract algebra. Then Selberg-type integrals are calculated underorthogonal transformations.
Journal of Algebraic Systems
Shahrood University of Technology
2345-5128
1
v.
1
no.
2013
53
65
http://jas.shahroodut.ac.ir/article_164_0aa20d6e72bc0fdaf5b8905e0d0e5859.pdf
dx.doi.org/10.22044/jas.2013.164
GENERALIZATIONS OF δ-LIFTING MODULES
Yahya
Talebi
Department of Mathematics, Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
author
Mehrab
Hosseinpour
Department of Mathematics, Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
author
text
article
2013
eng
In this paper we introduce the notions of $G_{1}^{*}L$-module and $G_{2}^{*}L$-module which are two proper generalizations of $\delta$-lifting modules. We give some characterizations and properties of these modules. We show that a$G_{2}^{*}L$-module decomposes into a semisimple submodule $M_{1}$ and a submodule $M_{2}$ of $M$ such that every non-zero submodule of $M_{2}$ contains a non-zero $\delta$-cosingular submodule.
Journal of Algebraic Systems
Shahrood University of Technology
2345-5128
1
v.
1
no.
2013
67
77
http://jas.shahroodut.ac.ir/article_168_779f9060623194a54be4107cc9186779.pdf
dx.doi.org/10.22044/jas.2013.168