Rings over which every module has a flat\\delta-cover

P AYDOĞDU - Turkish Journal of Mathematics, 2013 - journals.tubitak.gov.tr
Let M be a module. A\delta-cover of M is an epimorphism from a module F onto M with
a\delta-small kernel. A\delta-cover is said to be a flat\delta-cover in case F is a flat module. In …

On generalizations of semiperfect and perfect rings

Y Mehmet Demirci - Bulletin of the Iranian Mathematical Society, 2016 - bims.iranjournals.ir
‎ We call a ring $ R $ right generalized semiperfect if every simple right $ R $-module is an
epimorphic image of a flat right $ R $-module with small kernel‎,‎ that is‎,‎ every simple right $ R …

Rings over which flat covers of finitely generated modules are projective

A Amini, M Ershad, H Sharif - Communications in Algebra, 2008 - Taylor & Francis
In Bican et al., it is proved that all modules over an arbitrary ring have flat covers. In this
article, we shall study rings over which flat covers of finitely generated modules are …

Weak injective and weak flat complexes

Z Gao, Z Huang - Glasgow Mathematical Journal, 2016 - cambridge.org
Let R be an arbitrary ring. We introduce and study a generalization of injective and flat
complexes of modules, called weak injective and weak flat complexes of modules …

The class of modules with projective cover

YH Guo - Journal of the Korean Mathematical Society, 2009 - koreascience.kr
J. Korean Math. Soc. 46 (2009), No. 1, pp. 51–58 Page 1 J. Korean Math. Soc. 46 (2009), No. 1,
pp. 51–58 THE CLASS OF MODULES WITH PROJECTIVE COVER YONGHUA GUO …

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) …

[HTML][HTML] Existence of Covers and Envelopes of a Left Orthogonal Class and Its Right Orthogonal Class of Modules

A Umamaheswaran, R Udhayakumar… - Journal of …, 2022 - hindawi.com
In this paper, we investigate the notions of-projective,-injective, and-flat modules and give
some characterizations of these modules, where is a class of left modules. We prove that the …

When\delta-semiperfect rings are semiperfect

E Büyükaşik, C Lomp - Turkish journal of mathematics, 2010 - journals.tubitak.gov.tr
Zhou defined\delta-semiperfect rings as a proper generalization of semiperfect rings. The
purpose of this paper is to discuss relative notions of supplemented modules and to show …

[PDF][PDF] On Purely–Extending Modules

B Al-Bahrani - Iraqi Journal of Science, 2013 - iasj.net
In this note we consider a generalization of the notion of a purely extending modules,
defined using y–closed submodules. We show that a ring R is purely y–extending if and only …

Almost-flat modules

S Breaz - Czechoslovak Mathematical Journal, 2003 - Springer
Almost-Flat Modules Page 1 Czechoslovak Mathematical Journal, 53 (128) (2003), 479–489
ALMOST-FLAT MODULES ¡£¢¤¡¥¦ §© , Cluj-Napoca (Received June 26, 2000) Abstract …