@article {
author = {Aghapournahr, Moharram},
title = {UPPER BOUNDS FOR FINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES},
journal = {Journal of Algebraic Systems},
volume = {1},
number = {1},
pages = {1-9},
year = {2013},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2013.169},
abstract = {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 $\mathcal S$.},
keywords = {Generalized local cohomology module,Serre subcategory,cohomological dimension},
url = {http://jas.shahroodut.ac.ir/article_169.html},
eprint = {http://jas.shahroodut.ac.ir/article_169_c37d47751d382a040ab25cdfc4d74ec6.pdf}
}
@article {
author = {Kamali Ardakani, L. and Davvaz, Bijan},
title = {f-DERIVATIONS AND (f; g)-DERIVATIONS OF MV -ALGEBRAS},
journal = {Journal of Algebraic Systems},
volume = {1},
number = {1},
pages = {11-31},
year = {2013},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2013.167},
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.},
keywords = {MV -algebra,Lattice,BCIBCK-algebra,derivation},
url = {http://jas.shahroodut.ac.ir/article_167.html},
eprint = {http://jas.shahroodut.ac.ir/article_167_3a68dccc76e6f69f9a0255ccc7a9453a.pdf}
}
@article {
author = {Haddadi, Mahdieh},
title = {NETS AND SEPARATED S-POSETS},
journal = {Journal of Algebraic Systems},
volume = {1},
number = {1},
pages = {33-43},
year = {2013},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2013.166},
abstract = {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.},
keywords = {$S$-poset,Separated $S$-poset,Separation axioms},
url = {http://jas.shahroodut.ac.ir/article_166.html},
eprint = {http://jas.shahroodut.ac.ir/article_166_38e125e00d02238374d1cc0c2152786e.pdf}
}
@article {
author = {Mirebrahimi, Hanieh and Ghanei, Fatemeh},
title = {SOLVABILITY OF FREE PRODUCTS, CAYLEY GRAPHS AND COMPLEXES},
journal = {Journal of Algebraic Systems},
volume = {1},
number = {1},
pages = {45-52},
year = {2013},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2013.165},
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 ${Z}_{m}*{Z}_{n}$ is free of rank $(m-1)(n-1)$ for all $m,n\geq2$},
keywords = {simplicial complex,fundamental group,covering space,Caley graph,solvable group},
url = {http://jas.shahroodut.ac.ir/article_165.html},
eprint = {http://jas.shahroodut.ac.ir/article_165_76e847bc1b83709351833bc141c00f5a.pdf}
}
@article {
author = {Arashi, Mohammad},
title = {ON SELBERG-TYPE SQUARE MATRICES INTEGRALS},
journal = {Journal of Algebraic Systems},
volume = {1},
number = {1},
pages = {53-65},
year = {2013},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2013.164},
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 underorthogonal transformations.},
keywords = {Selberg-Type integrals,Real normed division algebras,Kummer-beta distribution,Random matrix},
url = {http://jas.shahroodut.ac.ir/article_164.html},
eprint = {http://jas.shahroodut.ac.ir/article_164_0aa20d6e72bc0fdaf5b8905e0d0e5859.pdf}
}
@article {
author = {Talebi, Yahya and Hosseinpour, Mehrab},
title = {GENERALIZATIONS OF δ-LIFTING MODULES},
journal = {Journal of Algebraic Systems},
volume = {1},
number = {1},
pages = {67-77},
year = {2013},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2013.168},
abstract = {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.},
keywords = {δ-cosingular,non-δ-cosingular,G∗L-module},
url = {http://jas.shahroodut.ac.ir/article_168.html},
eprint = {http://jas.shahroodut.ac.ir/article_168_779f9060623194a54be4107cc9186779.pdf}
}