New characterization of Σ-injective modules

KI Beidar, SK Jain, AK Srivastava - Proceedings of the American …, 2008 - JSTOR
New Characterization of σ-Injective Modules Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 136, Number 10, October 2008, Pages 3461-3466 S …

A note on pseudo-injective modules

HQ Dinh - Communications in Algebra®, 2005 - Taylor & Francis
Full article: A NOTE ON PSEUDO-INJECTIVE MODULES Skip to Main Content Taylor and Francis
Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …

Mixed injective modules

DK Tütüncü, SH MOHAMED… - Glasgow Mathematical …, 2010 - cambridge.org
MIXED INJECTIVE MODULES Page 1 Glasgow Math. J. 52A (2010) 111–120. C Glasgow
Mathematical Journal Trust 2010. doi:10.1017/S0017089510000182. MIXED INJECTIVE …

Generalizations of the quasi-injective module

C Han, SJ Park - Communications of the Korean Mathematical …, 1995 - koreascience.kr
GENERALIZATIONS OF THE QUASI-INJECTIVE MODULE -Communications of the Korean
Mathematical Society Article Info. 1.Home 2.Article Info. Communications of the Korean …

On Σ-extending modules

A Omer Al-attas, N Vanaja - Communications in Algebra, 1997 - Taylor & Francis
An R-module hf is called extending (or a CS-module) if every submodule of M is essential in
a direct summand of M. The module M is called C-eztendzng (resp., finitely or countably C …

Direct sums of injective and projective modules

PAG Asensio, SK Jain, AK Srivastava - Journal of Algebra, 2010 - Elsevier
It is well known that a countably injective module is Σ-injective. In [KI Beidar, SK Jain, Ashish
K. Srivastava, New characterization of Σ-injective modules, Proc. Amer. Math. Soc. 316 …

[PDF][PDF] Some decomposition properties of injective and pure-injective modules

JL Garcia, NV Dung - 1994 - projecteuclid.org
It is well known that over a left Notherian ring any direct sum of injecive modules is again
injective, and every injective module is a direct sum of indecomposable modules. Faith [6] …

Weak-injective modules

SB Lee - Communications in Algebra®, 2006 - Taylor & Francis
Pure-injective and RD-injective R-modules over domains R have been investigated by many
authors. We introduce another class of R-modules, called weak-injective modules, which …

Simple injective modules

FW Anderson - Mathematica Scandinavica, 1978 - JSTOR
Rosenberg and Zelinsky [6] first addressed the question of characterizing for a ring R those
simple modules RT having injective hulls of finite length. In that work they also announced a …

On subinjectivity domains of pure-injective modules

Y Durğun - Rocky Mountain Journal of Mathematics, 2021 - projecteuclid.org
A pure-injective module M is said to be pi-indigent if its subinjectivity domain is smallest
possible, namely, consisting of exactly the absolutely pure modules. A module M is called …