ORIGINAL_ARTICLE
Upper bounds for finiteness of generalized local cohomology modules
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 $\mathcal S$.
http://jas.shahroodut.ac.ir/article_169_c37d47751d382a040ab25cdfc4d74ec6.pdf
2013-09-15T11:23:20
2019-05-22T11:23:20
1
9
10.22044/jas.2013.169
Generalized local cohomology module
Serre subcategory
cohomological dimension
Moharram
Aghapournahr
m.aghapour@gmail.com
true
1
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran.
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran.
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
f-DERIVATIONS AND (f; g)-DERIVATIONS OF MV -ALGEBRAS
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.
http://jas.shahroodut.ac.ir/article_167_3a68dccc76e6f69f9a0255ccc7a9453a.pdf
2013-09-15T11:23:20
2019-05-22T11:23:20
11
31
10.22044/jas.2013.167
MV -algebra
Lattice
BCIBCK-algebra
derivation
L.
Kamali Ardakani
sdeh46@yahoo.com
true
1
Department of Mathematics, Yazd University, Yazd, Iran.
Department of Mathematics, Yazd University, Yazd, Iran.
Department of Mathematics, Yazd University, Yazd, Iran.
AUTHOR
Bijan
Davvaz
davvaz@yazd.ac.ir
true
2
Department of Mathematics, Yazd University, Yazd, Iran.
Department of Mathematics, Yazd University, Yazd, Iran.
Department of Mathematics, Yazd University, Yazd, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
NETS AND SEPARATED S-POSETS
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.
http://jas.shahroodut.ac.ir/article_166_38e125e00d02238374d1cc0c2152786e.pdf
2013-09-15T11:23:20
2019-05-22T11:23:20
33
43
10.22044/jas.2013.166
$S$-poset
Separated $S$-poset
Separation axioms
Mahdieh
Haddadi
haddadi_1360@yahoo.com
true
1
Department of Mathematics, Faculty of Mathematics, Statistics and computer science, Semnan University, Semnan, Iran.
Department of Mathematics, Faculty of Mathematics, Statistics and computer science, Semnan University, Semnan, Iran.
Department of Mathematics, Faculty of Mathematics, Statistics and computer science, Semnan University, Semnan, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
SOLVABILITY OF FREE PRODUCTS, CAYLEY GRAPHS AND COMPLEXES
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 $m,n\geq2$
http://jas.shahroodut.ac.ir/article_165_76e847bc1b83709351833bc141c00f5a.pdf
2013-09-15T11:23:20
2019-05-22T11:23:20
45
52
10.22044/jas.2013.165
simplicial complex
fundamental group
covering space
Caley graph
solvable group
Hanieh
Mirebrahimi
h_mirebrahimi@um.ac.ir
true
1
Department of pure Mathematics, Ferdowsi University of Mashhad, P.O.Box 1159-91775 Mashhad, Iran
Department of pure Mathematics, Ferdowsi University of Mashhad, P.O.Box 1159-91775 Mashhad, Iran
Department of pure Mathematics, Ferdowsi University of Mashhad, P.O.Box 1159-91775 Mashhad, Iran
LEAD_AUTHOR
Fatemeh
Ghanei
fatemeh.ghanei91@gmail.com
true
2
Department of pure Mathematics, Ferdowsi University of Mashhad, P.O.Box 1159-91775 Mashhad, Iran
Department of pure Mathematics, Ferdowsi University of Mashhad, P.O.Box 1159-91775 Mashhad, Iran
Department of pure Mathematics, Ferdowsi University of Mashhad, P.O.Box 1159-91775 Mashhad, Iran
AUTHOR
ORIGINAL_ARTICLE
ON SELBERG-TYPE SQUARE MATRICES INTEGRALS
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.
http://jas.shahroodut.ac.ir/article_164_0aa20d6e72bc0fdaf5b8905e0d0e5859.pdf
2013-09-15T11:23:20
2019-05-22T11:23:20
53
65
10.22044/jas.2013.164
Selberg-Type integrals
Real normed division algebras
Kummer-beta distribution
Random matrix
Mohammad
Arashi
m_arashi_stat@yahoo.com
true
1
Department of Statistics
School of Mathematics,
Shahrood University of Technology,
Shahrood, Iran.
Department of Statistics
School of Mathematics,
Shahrood University of Technology,
Shahrood, Iran.
Department of Statistics
School of Mathematics,
Shahrood University of Technology,
Shahrood, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
GENERALIZATIONS OF δ-LIFTING MODULES
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.
http://jas.shahroodut.ac.ir/article_168_779f9060623194a54be4107cc9186779.pdf
2013-09-15T11:23:20
2019-05-22T11:23:20
67
77
10.22044/jas.2013.168
δ-cosingular
non-δ-cosingular
G∗L-module
Yahya
Talebi
talebi@umz.ac.ir
true
1
Department of Mathematics, Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
Department of Mathematics, Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
Department of Mathematics, Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
LEAD_AUTHOR
Mehrab
Hosseinpour
m.hpour@umz.ac.ir
true
2
Department of Mathematics, Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
Department of Mathematics, Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
Department of Mathematics, Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
AUTHOR