Projectivity relative to closed (neat) submodules
Y Durğun - Journal of Algebra and Its Applications, 2022 - World Scientific
An R-module F is called closed (neat) projective if, for every closed (neat) submodule L of
every R-module M, every homomorphism from F to M/L lifts to M. In this paper, we study …
every R-module M, every homomorphism from F to M/L lifts to M. In this paper, we study …
[PDF][PDF] Semi-Endosimple Modules and Some Applications
An R-module is called semi-endosimple if it has no proper fully invariant essential
submodules. For a quasi-projective retractable module MR we show that M is finitely …
submodules. For a quasi-projective retractable module MR we show that M is finitely …
SOME CHARACTERIZATIONS OF EF-EXTENDING RINGS
TC Quynh - International Electronic Journal of Algebra, 2009 - dergipark.org.tr
Thuyet and Wisbauer considered the extending property for the class of (essentially) finitely
generated submodules. A module M is called ef-extending if every closed submodule which …
generated submodules. A module M is called ef-extending if every closed submodule which …
Coneat injective modules
MF Hamid - Missouri Journal of Mathematical Sciences, 2019 - projecteuclid.org
A module is called coneat injective if it is injective with respect to all coneat exact
sequences. The class of such modules is enveloping and falls properly between injectives …
sequences. The class of such modules is enveloping and falls properly between injectives …
[HTML][HTML] Modules which are coinvariant under automorphisms of their projective covers
PAG Asensio, DK Tütüncü, B Kalebogaz… - Journal of Algebra, 2016 - Elsevier
In this paper we study modules coinvariant under automorphisms of their projective covers.
We first provide an alternative, and in fact, a more succinct and conceptual proof for the …
We first provide an alternative, and in fact, a more succinct and conceptual proof for the …
Relatively flat envelopes
丁南庆 - 中国科学: 数学英文版, 1994 - cqvip.com
The aim of this paper is to investigate relatively flat envelopes. A necessary and sufficient
condition is given for a relatively-finitely presented module to have a (mono-morphic or epic) …
condition is given for a relatively-finitely presented module to have a (mono-morphic or epic) …
[PDF][PDF] Notes on FP-projective modules and FP-injective modules
L Mao, N Ding - Advances in ring theory, 2005 - maths.nju.edu.cn
NOTES ON FP-PROJECTIVE MODULES AND FP-INJECTIVE MODULES 1. Introduction
Throughout this paper, all rings are associative with id Page 1 February 17, 2006 17:49 …
Throughout this paper, all rings are associative with id Page 1 February 17, 2006 17:49 …
On image summand coinvariant modules and kernel summand invariant modules
DK TÜTÜNCÜ, Y Kuratomi… - Turkish Journal of …, 2019 - journals.tubitak.gov.tr
In this paper we introduce the concept of im-summand coinvariance and im-small
coinvariance; that is, a module $ M $ over a right perfect ring is said to be im-summand (im …
coinvariance; that is, a module $ M $ over a right perfect ring is said to be im-summand (im …
Nonzero injective covers of modules
R Belshoff, J Xu - Missouri Journal of Mathematical Sciences, 2001 - projecteuclid.org
163 NONZERO INJECTIVE COVERS OF MODULES Richard Belshoff and Jinzhong Xu
Abstract. We show that if R is a ring such that every n Page 1 VOLUME 13, NUMBER 3, FALL …
Abstract. We show that if R is a ring such that every n Page 1 VOLUME 13, NUMBER 3, FALL …
Essentially retractable modules
MR Vedadi - Journal of Sciences, Islamic Republic of Iran, 2007 - jsciences.ut.ac.ir
We call a module essentially retractable if HomR for all essential submodules N of M. For a
right FBN ring R, it is shown that:(i) A non-zero module is retractable (in the sense that …
right FBN ring R, it is shown that:(i) A non-zero module is retractable (in the sense that …