Volume 10 (2022-2023)
Volume 9 (2021-2022)
Volume 8 (2020-2021)
Volume 7 (2019-2020)
Volume 6 (2018-2019)
Volume 5 (2017-2018)
Volume 4 (2016-2017)
Volume 3 (2015-2016)
Volume 2 (2014-2015)
Volume 1 (2013-2014)
Number of Articles: 8
THE CONCEPT OF (I; J)-COHEN MACAULAY MODULES
Volume 3, Issue 1 , September 2015, Pages 1-10
Abstract
We introduce a generalization of the notion of depth of an ideal on a module by applying the concept of local cohomology modules with respect to a pair of ideals. We also introduce the concept of $(I,J)$-Cohen--Macaulay modules as a generalization of concept of Cohen--Macaulay ... Read MoreAN INTEGRAL DEPENDENCE IN MODULES OVER COMMUTATIVE RINGS
Volume 3, Issue 1 , September 2015, Pages 11-22
Abstract
In this paper, we give a generalization of the integral dependence from rings to modules. We study the stability of the integral closure with respect to various module theoretic constructions. Moreover, we introduce the notion of integral extension of a module and prove the Lying over, Going up and Going ... Read MoreGENERALIZED PRINCIPAL IDEAL THEOREM FOR MODULES
Volume 3, Issue 1 , September 2015, Pages 23-30
Abstract
The Generalized Principal Ideal Theorem is one of the cornerstones of dimension theory for Noetherian rings. For an R-module M, we identify certain submodules of M that play a role analogous to that of prime ideals in the ring R. Using this definition, we extend the Generalized Principal Ideal Theorem ... Read MoreGENERALIZED JOINT HIGHER-RANK NUMERICAL RANGE
Volume 3, Issue 1 , September 2015, Pages 31-38
Abstract
The rank-k numerical range has a close connection to the construction of quantum error correction code for a noisy quantum channel. For noisy quantum channel, a quantum error correcting code of dimension k exists if and only if the associated joint rank-k numerical range is non-empty. In this paper the ... Read MoreANNIHILATING SUBMODULE GRAPHS FOR MODULES OVER COMMUTATIVE RINGS
Volume 3, Issue 1 , September 2015, Pages 39-47
Abstract
In this article, we give several generalizations of the concept of annihilating ideal graph over a commutative ring with identity to modules. Weobserve that over a commutative ring $R$, $Bbb{AG}_*(_RM)$ isconnected and diam$Bbb{AG}_*(_RM)leq 3$. Moreover, if $Bbb{AG}_*(_RM)$ contains a cycle, then $mbox{gr}Bbb{AG}_*(_RM)leq ... Read MoreHvMV-ALGEBRAS II
Volume 3, Issue 1 , September 2015, Pages 49-64
Abstract
In this paper, we continue our study on HvMV-algebras. The quotient structure of an HvMV-algebra by a suitable types of congruences is studied and some properties and related results are given. Some homomorphism theorems are given, as well. Also, the fundamental HvMV-algebra and the direct product of ... Read MoreFUZZY NEXUS OVER AN ORDINAL
Volume 3, Issue 1 , September 2015, Pages 65-82
Abstract
In this paper, we define fuzzy subnexuses over a nexus $N$. Define and study the notions of the prime fuzzy subnexuses and the fractionsinduced by them. Finally, we show that if S is a meetclosed subset of the set Fsub(N), of ... Read MoreCOMPUTING THE PRODUCTS OF CONJUGACY CLASSES FOR SPECIFIC FINITE GROUPS
Volume 3, Issue 1 , September 2015, Pages 88-95