@Article{Aghapournahr2013,
author="Aghapournahr, Moharram",
title="UPPER BOUNDS FOR FINITENESS OF GENERALIZED LOCAL COHOMOLOGY
MODULES",
journal="Journal of Algebraic Systems",
year="2013",
volume="1",
number="1",
pages="1-9",
abstract="Let $R$ be a commutative Noetherian ring with non-zero 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 $mathcal S$.",
issn="2345-5128",
doi="10.22044/jas.2013.169",
url="http://jas.shahroodut.ac.ir/article_169.html"
}
@Article{KamaliArdakani2013,
author="Kamali Ardakani, L.
and Davvaz, Bijan",
title="f-DERIVATIONS AND (f; g)-DERIVATIONS OF MV -ALGEBRAS",
journal="Journal of Algebraic Systems",
year="2013",
volume="1",
number="1",
pages="11-31",
abstract="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.",
issn="2345-5128",
doi="10.22044/jas.2013.167",
url="http://jas.shahroodut.ac.ir/article_167.html"
}
@Article{Haddadi2013,
author="Haddadi, Mahdieh",
title="NETS AND SEPARATED S-POSETS",
journal="Journal of Algebraic Systems",
year="2013",
volume="1",
number="1",
pages="33-43",
abstract="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 net-closure operators, we investigatethe counterparts of topological separation axioms on $S$-posetsand study their relation to separated $S$-posets.",
issn="2345-5128",
doi="10.22044/jas.2013.166",
url="http://jas.shahroodut.ac.ir/article_166.html"
}
@Article{Mirebrahimi2013,
author="Mirebrahimi, Hanieh
and Ghanei, Fatemeh",
title="SOLVABILITY OF FREE PRODUCTS, CAYLEY GRAPHS AND COMPLEXES",
journal="Journal of Algebraic Systems",
year="2013",
volume="1",
number="1",
pages="45-52",
abstract="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 $mathbb{Z}_{m}*mathbb{Z}_{n}$ is free of rank $(m-1)(n-1)$ for all $m,ngeq2$",
issn="2345-5128",
doi="10.22044/jas.2013.165",
url="http://jas.shahroodut.ac.ir/article_165.html"
}
@Article{Arashi2013,
author="Arashi, Mohammad",
title="ON SELBERG-TYPE SQUARE MATRICES INTEGRALS",
journal="Journal of Algebraic Systems",
year="2013",
volume="1",
number="1",
pages="53-65",
abstract="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 under orthogonal transformations.",
issn="2345-5128",
doi="10.22044/jas.2013.164",
url="http://jas.shahroodut.ac.ir/article_164.html"
}
@Article{Talebi2013,
author="Talebi, Yahya
and Hosseinpour, Mehrab",
title="GENERALIZATIONS OF delta-LIFTING MODULES",
journal="Journal of Algebraic Systems",
year="2013",
volume="1",
number="1",
pages="67-77",
abstract="In this paper we introduce the notions of G∗L-module and G∗L-module whichare two proper generalizations of δ-lifting modules. We give some characteriza tions and properties of these modules. We show that a G∗L-module decomposesinto a semisimple submodule M1 and a submodule M2 of M such that every non-zero submodule of M2 contains a non-zero δ-cosingular submodule.",
issn="2345-5128",
doi="10.22044/jas.2013.168",
url="http://jas.shahroodut.ac.ir/article_168.html"
}