[图书][B] Categories of modules over endomorphism rings

TG Faticoni - 1993 - books.google.com
The goal of this work is to develop a functional transfer of properties between a module A
and the category* M* E of right modules over its endomorphism ring* E that is more sensitive …

[引用][C] Equivalence of the Ext-algebra structures of an R-module

C Aholt - 2008 - University of Texas at Arlington

Ascent of module structures, vanishing of Ext, and extended modules

A Frankild, S Sather-Wagstaff… - Michigan Mathematical …, 2008 - projecteuclid.org
Suppose (R, m) and (S, n) are commutative Noetherian local rings and ϕ: R→ S is a flat
local homomorphism with the property that the induced homomorphism R/m→ S/mS is …

Absolutely pure modules

KR Pinzon - 2005 - uknowledge.uky.edu
Absolutely pure modules act in ways similar to injective modules. Therefore, through-out this
document we investigate many of these properties of absolutely pure modules which are …

On covers and envelopes in some functor categories

L Mao - Communications in Algebra, 2013 - Taylor & Francis
We study the existence of covers and envelopes by some special functors on the category of
finitely presented modules. As an application, we characterize some important rings using …

The phantom cover of a module

I Herzog - Advances in Mathematics, 2007 - Elsevier
A morphism f: M→ N of left R-modules is a phantom morphism if for any morphism g: A→ M,
with A finitely presented, the composition fg factors through a projective module …

[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 …

Auslander–Bridger modules

A Facchini, N Girardi - Communications in Algebra, 2012 - Taylor & Francis
Classically, the Auslander–Bridger transpose finds its best applications in the well-known
setting of finitely presented modules over a semiperfect ring. We introduce a class of …

Relatively free modules on ring extensions

S Guo, X Wang, Z Yi - Communications in Algebra, 2021 - Taylor & Francis
A ring extension is a ring homomorphism preserving identities. In this paper, we give the
definition of relatively free modules on ring extensions and develop some basic properties of …

Modules M such that Commutes with Direct Limits

S Breaz - Algebras and Representation Theory, 2013 - Springer
Modules M such that Ext R(M,−) Commutes with Direct Limits Page 1 Algebr Represent Theor
(2013) 16:1799–1808 DOI 10.1007/s10468-012-9382-y Modules M such that Ext 1 R(M,−) …