2013
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1
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77
UPPER BOUNDS FOR FINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES
2
2
Let $R$ be a commutative Noetherian ring with nonzero 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 $bsupseteq a$, it is also shown that the module $H^{n}_{a}(M,N)/{b}H^{n}_{a}(M,N)$ belongs to $mathcal S$.
1

1
9


Moharram
Aghapournahr
Department of Mathematics, Faculty of Science, Arak University, Arak, 3815688349, Iran.
Department of Mathematics, Faculty of Science,
Iran
m.aghapour@gmail.com
Generalized local cohomology module
Serre subcategory
cohomological dimension
fDERIVATIONS AND (f; g)DERIVATIONS OF MV ALGEBRAS
2
2
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.
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11
31


L.
Kamali Ardakani
Department of Mathematics, Yazd University, Yazd, Iran.
Department of Mathematics, Yazd University,
Iran
sdeh46@yahoo.com


Bijan
Davvaz
Department of Mathematics, Yazd University, Yazd, Iran.
Department of Mathematics, Yazd University,
Iran
davvaz@yazd.ac.ir
MV algebra
Lattice
BCIBCKalgebra
derivation
NETS AND SEPARATED SPOSETS
2
2
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 netclosure operators, we investigate the counterparts of topological separation axioms on $S$posets and study their relation to separated $S$posets.
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33
43


Mahdieh
Haddadi
Department of Mathematics, Faculty of Mathematics, Statistics and computer science, Semnan University, Semnan, Iran.
Department of Mathematics, Faculty of Mathematics,
Iran
haddadi_1360@yahoo.com
$S$poset
Separated $S$poset
Separation axioms
SOLVABILITY OF FREE PRODUCTS, CAYLEY GRAPHS AND COMPLEXES
2
2
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 2complexes 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 $(m1)(n1)$ for all $m,ngeq2$
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45
52


Hanieh
Mirebrahimi
Department of pure Mathematics, Ferdowsi University of Mashhad, P.O.Box 115991775 Mashhad, Iran
Department of pure Mathematics, Ferdowsi
Iran
h_mirebrahimi@um.ac.ir


Fatemeh
Ghanei
Department of pure Mathematics, Ferdowsi University of Mashhad, P.O.Box 115991775 Mashhad, Iran
Department of pure Mathematics, Ferdowsi
Iran
fatemeh.ghanei91@gmail.com
simplicial complex
fundamental group
covering space
Caley graph
solvable group
ON SELBERGTYPE SQUARE MATRICES INTEGRALS
2
2
In this paper we consider Selbergtype square matrices integrals with focus on Kummerbeta types I & II integrals. For generality of the results for real normed division algebras, the generalized matrix variate Kummerbeta types I & II are defined under the abstract algebra. Then Selbergtype integrals are calculated underorthogonal transformations.
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53
65


Mohammad
Arashi
Department of Statistics
School of Mathematics,
Shahrood University of Technology,
Shahrood, Iran.
Department of Statistics
School of Mathematics,
Iran
m_arashi_stat@yahoo.com
SelbergType integrals
Real normed division algebras
Kummerbeta distribution
Random matrix
GENERALIZATIONS OF δLIFTING MODULES
2
2
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 nonzero submodule of $M_{2}$ contains a nonzero $delta$cosingular submodule.
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67
77


Yahya
Talebi
Department of Mathematics, Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
Department of Mathematics, Faculty of Mathematical
Iran
talebi@umz.ac.ir


Mehrab
Hosseinpour
Department of Mathematics, Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
Department of Mathematics, Faculty of Mathematical
Iran
m.hpour@umz.ac.ir
δcosingular
nonδcosingular
G∗Lmodule