[PDF][PDF] On prime submodules and primary decomposition

Y Tiras, A Harmanci - Czechoslovak Mathematical Journal, 2000 - avesis.hacettepe.edu.tr
Czechoslovak Mathematical Journal Page 1 Czechoslovak Mathematical Journal Yücel Tiraş;
Abdullah Harmanci On prime submodules and primary decomposition Czechoslovak …

Direct Sums of Extending Modules

L Zhongkui - Kyungpook Mathematical Journal, 2003 - dbpia.co.kr
Let M and N be left R-modules. N is called M-ep-injective if N is essentially M-injective and
pseudoly M-injective. An example is given to show that M-ep-injectivityis a non-trivial …

On General Quasi-principally Injective Modules.

Z Zhanmin - Southeast Asian Bulletin of Mathematics, 2006 - search.ebscohost.com
Let R be a ring and M a right R-module with S= end (M< sub> R). Then M is called general
quasi-injective (briefly GQP-injective) if for any 0≠ s∈ S, there exists a positive integer n …

[引用][C] On direct sums of extending modules and internal exchange property

K Hanada, Y Kuratomi, K Oshiro - Journal of Algebra, 2002 - Elsevier
An R-module M is called an extending module, and also called CS, if it satisfies the following
full extending property: For any submodule X of M, there exists a direct summand X∗ of M …

On Property (A) of rings and modules over an ideal

S Bouchiba, Y Arssi - Journal of Algebra and Related Topics, 2020 - jart.guilan.ac.ir
This paper introduces and studies the notion of Property ($\mathcal A $) of a ring $ R $ or an
$ R $-module $ M $ along an ideal $ I $ of $ R $. For instance, any module $ M $ over $ R …

DG-injective covers,#-injective covers

A Iacob - Communications in Algebra, 2011 - Taylor & Francis
Full article: DG-Injective Covers, #-Injective Covers Skip to Main Content Taylor and Francis
Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …

On direct sums of injective modules and chain conditions

SS Page, Y Zhou - Canadian Journal of Mathematics, 1994 - cambridge.org
Let R be a ring and M a right R-module. Let σ [M] be the full subcategory of Mod-R
subgenerated by M. An M-natural class 𝒦 is a subclass of σ [M] closed under submodules …

Modules which are lifting relative to module classes

M KOŞAN, A Harmanci - Kyungpook Mathematical Journal, 2008 - avesis.hacettepe.edu.tr
In this paper, we study a module which is lifting and supplemented relative to a module
class. Let R be a ring, and let X be a class of R-modules. We will define X-lifting modules …

M-SP-INJECTIVE MODULES

V Kumar, AJ Gupta, BM Pandeya… - Asian-European Journal …, 2012 - World Scientific
In this paper we study M-small principally injective (in short, M-sp-injective) module which is
the generalization of M-principally injective module. We prove that if M is finite dimensional …

Envelopes and covers by modules of finite injective and projective dimensions

ST Aldrich, EE Enochs, OMG Jenda, L Oyonarte - Journal of Algebra, 2001 - Elsevier
In this paper, we study the existence of L⊥-envelopes, L-envelopes, D⊥-envelopes, D-
covers, and L-covers where L and D denote the classes of modules of injective and …