1. UPPER BOUNDS FOR FINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES

Moharram Aghapournahr

Volume 1, Issue 1 , Summer and Autumn 2013, Pages 1-9

http://dx.doi.org/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 ...  Read More

2. f-DERIVATIONS AND (f; g)-DERIVATIONS OF MV -ALGEBRAS

L. Kamali Ardakani; Bijan Davvaz

Volume 1, Issue 1 , Summer and Autumn 2013, Pages 11-31

http://dx.doi.org/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 ...  Read More

3. NETS AND SEPARATED S-POSETS

Mahdieh Haddadi

Volume 1, Issue 1 , Summer and Autumn 2013, Pages 33-43

http://dx.doi.org/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 ...  Read More

4. SOLVABILITY OF FREE PRODUCTS, CAYLEY GRAPHS AND COMPLEXES

Hanieh Mirebrahimi; Fatemeh Ghanei

Volume 1, Issue 1 , Summer and Autumn 2013, Pages 45-52

http://dx.doi.org/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 ...  Read More

5. ON SELBERG-TYPE SQUARE MATRICES INTEGRALS

Mohammad Arashi

Volume 1, Issue 1 , Summer and Autumn 2013, Pages 53-65

http://dx.doi.org/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 ...  Read More

6. GENERALIZATIONS OF δ-LIFTING MODULES

Yahya Talebi; Mehrab Hosseinpour

Volume 1, Issue 1 , Summer and Autumn 2013, Pages 67-77

http://dx.doi.org/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 ...  Read More