Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
ESSENTIALLY SEMIMALL QUASI-DEDEKIND MODULES AND ANTI-HOPFIAN MODULES
View through CrossRef
Let V be a ring with identity and S be a unitary left Module over V. An ????-Module S is essentially semismall quasi-Dedekind (ESSQD) whether Hom(S/H,S) = 0 H es S. A ring V is ESSQD if V is an ESSQD V-Module. An V -Module S is anti-hopfian if S is nonsimple and all nonzero factor Modules of S are isomorphic to S; that is for all , S Y S . In this paper we study the relationship between ESSQD with anti-hopfian Modules and continuous Modules. We also give some examples to illustrate these relationships.
Title: ESSENTIALLY SEMIMALL QUASI-DEDEKIND MODULES AND ANTI-HOPFIAN MODULES
Description:
Let V be a ring with identity and S be a unitary left Module over V.
An ????-Module S is essentially semismall quasi-Dedekind (ESSQD) whether Hom(S/H,S) = 0 H es S.
A ring V is ESSQD if V is an ESSQD V-Module.
An V -Module S is anti-hopfian if S is nonsimple and all nonzero factor Modules of S are isomorphic to S; that is for all , S Y S .
In this paper we study the relationship between ESSQD with anti-hopfian Modules and continuous Modules.
We also give some examples to illustrate these relationships.
Related Results
Localization of Hopfian and Cohopfian Objects in the Categories of A − Mod, AGr(A − Mod) and COMP(AGr(A − Mod))
Localization of Hopfian and Cohopfian Objects in the Categories of A − Mod, AGr(A − Mod) and COMP(AGr(A − Mod))
The aim of this paper is to study the localization of hopfian and cohopfian objects in the categories A-Mod of left A-modules, AGr(A-Mod) of graded left A-modules and COMP(AGr(A-Mo...
Strongly Hopfian subrings of power series rings
Strongly Hopfian subrings of power series rings
The main purpose of this paper is to study the transfer of the strongly Hopfian property to subrings of power series rings. Let A be a commutative ring with identity element and I ...
Relationship of Essentially Small Quasi-Dedekind Modules with Scalar and Multiplication Modules
Relationship of Essentially Small Quasi-Dedekind Modules with Scalar and Multiplication Modules
Let be a ring with 1 and D is a left module over . In this paper, we study the relationship between essentially small quasi-Dedekind modules with scalar and multiplication modules....
On S-quasi-Dedekind Modules
On S-quasi-Dedekind Modules
Let $R$ be a commutative ring and $M$ an unital $R$-module. A proper submodule $L$ of $M$ is called primary submodule of $M$, if $rm\in L$, where $r\in R$, $m\in M$, then $m\in L$ ...
ON COMMUTATIVE PFGI-RINGS
ON COMMUTATIVE PFGI-RINGS
Let $R$ be a ring. An $R$-module $M$ is called purely co-Hopfian if for any injective endomorphism $f:M \to M$, $Imf$ is pure in $M$, i.e., $IM \cap Imf = IImf$ for any ideal $I$ o...
Pregnancy and Challenging Transient Anti-GAD65 Positivity: A Case Report with Literature Review
Pregnancy and Challenging Transient Anti-GAD65 Positivity: A Case Report with Literature Review
Abstract
Introduction
During pregnancy, women may develop blood glucose abnormalities like gestational diabetes mellitus (GDM) or, rarely, type 1 diabetes (T1D), which can lead to ...
Quasi-semiprime Modules
Quasi-semiprime Modules
Suppose that A be an abelain ring with identity, B be a unitary (left) A-module, in this paper ,we introduce a type of modules ,namely Quasi-semiprime A-module, whenever is a...
Weakly Quasi-Primary K- Modules
Weakly Quasi-Primary K- Modules
Important areas for study in the field of modules include prime modules .There has already been an introduction to the idea of quasi-prime modules .Our focus recently has been on...