Modules over endomorphism rings as homotopy classes

TG Faticoni - Abelian Groups and Modules: Proceedings of the …, 1995 - Springer
Let R be an associative ring with identity, fix a right R-module A, and let E= End R (A) be he
ring of R-module endomorphisms of A. View as an ER-bimodule, and let MT denote the …

[引用][C] Modules over endomorphism rings. II

K Varadarajan, P Wani - Acta Mathematica Hungarica, 1989 - akjournals.com
This paper could be regarded as continuation of [7] by AK Gupta and K. Varadarajan.
Throughout this paper we will be following the standard convention in ring theory. The rings …

Restricted homological properties of modules

DA Hill - Journal of the Australian Mathematical Society, 1974 - cambridge.org
Restricted homological properties of modules Page 1 RESTRICTED HOMOLOGICAL
PROPERTIES OF MODULES DAVID A. HILL (Received 20 May 1971; revised 13 March 1972) …

[引用][C] Torsion products as homotopy groups

A Robinson - Journal of Pure and Applied Algebra, 1981 - Elsevier
The torsion products To&M, N) are defined when M and N are respectively right and left
modules over an associative ring n with identity element, and s 2 0 [4]. We give a new …

The homotopy category of complexes of projective modules

P Jørgensen - Advances in Mathematics, 2005 - Elsevier
The homotopy category of complexes of projective modules Page 1 Advances in Mathematics
193 (2005) 223–232 www.elsevier.com/locate/aim The homotopy category of complexes of …

co-Hopfian Modules

FC Leary - arXiv preprint arXiv:2201.09961, 2022 - arxiv.org
If $ R $ is a ring with 1, we call a unital left $ R $-module $ M $ co-Hopfian (Hopfian) in the
category of left $ R $-modules if any monic (epic) endomorphism of $ M $ is an …

[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 …

Regular substructures of Hom

F Kasch - Applied Categorical Structures, 2008 - Springer
Regular Substructures of Hom Page 1 Appl Categor Struct (2008) 16:159–166 DOI 10.1007/s10485-007-9068-5
Regular Substructures of Hom Friedrich Kasch Received: 27 July 2006 / Accepted: 22 January …

On the homotopy category of AC-injective complexes

J Gillespie - Frontiers of Mathematics in China, 2017 - Springer
Let R be any ring. We motivate the study of a class of chain complexes of injective R-
modules that we call AC-injective complexes, showing that K (AC-Inj), the chain homotopy …

On the endomorphism ring of an infinite dimensional vector space

A Orsatti, N Rodino - Abelian Groups and Modules: Proceedings of the …, 1995 - Springer
ON THE ENDOMORPHISM RING OF AN INFINITE DIMENSIONAL VECTOR SPACE O.
Introduction 0.1. For every ring A we denote by Mod-A (A-Mod Page 1 ON THE ENDOMORPHISM …