2013
1
1
1
0
UPPER BOUNDS FOR FINITENESS OF GENERALIZED LOCAL COHOMOLOGY
MODULES
2
2
Let $R$ be a commutative Noetherian ring with nonzero identity and $fa$ an ideal of $R$. Let $M$ be a finite $R$module of finite projective dimension and $N$ an arbitrary finite $R$module. We characterize the membership of the generalized local cohomology modules $lc^{i}_{fa}(M,N)$ 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 $lc^{i}_{fa}(M,N)$ belongs to $mathcal S$ for all $i> n$. Then, for any ideal $fbsupseteq fa$, it is also shown that the module $lc^{n}_{fa}(M,N)/{fb}lc^{n}_{fa}(M,N)$ belongs to $mathcal S$.
1

1
9


Moharram
Aghapournahr
Arak Aniversity
Arak Aniversity
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.
1

11
31


L.
Kamali Ardakani
Yazd University
Yazd University
Iran
sdeh46@yahoo.com


Bijan
Davvaz
Yazd University
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 certainconcepts that may only be general enough in the context of metricspaces. In this work we introduce this concept in an $S$poset, aposet with an action of a posemigroup $S$ on it whichis a very useful structure in computer sciences and interestingfor mathematicians, and give the the concept of $S$net. Using $S$nets and itsconvergency we also give some characterizations of separated$S$posets.Also, introducing the netclosure operators, we investigatethe counterparts of topological separation axioms on $S$posetsand study their relation to separated $S$posets.
1

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 $mathbb{Z}_{m}*mathbb{Z}_{n}$ 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 under orthogonal transformations.
1

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 deltaLIFTING MODULES
2
2
In this paper we introduce the notions of G∗Lmodule and G∗Lmodule whichare two proper generalizations of δlifting modules. We give some characteriza tions and properties of these modules. We show that a G∗Lmodule decomposesinto a semisimple submodule M1 and a submodule M2 of M such that every nonzero submodule of M2 contains a nonzero δcosingular submodule.
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67
77


Yahya
Talebi
University of Mazandaran, Babolsar
University of Mazandaran, Babolsar
Iran
talebi@umz.ac.ir


Mehrab
Hosseinpour
University of Mazandaran
University of Mazandaran
Iran
m.hpour@umz.ac.ir
δcosingular
nonδcosingular
G∗Lmodule