[图书][B] Foundations of module and ring theory

R Wisbauer - 2018 - taylorfrancis.com
This volume provides a comprehensive introduction to module theory and the related part of
ring theory, including original results as well as the most recent work. It is a useful and …

[图书][B] Equivalence and duality for module categories with tilting and cotilting for rings

RR Colby, KR Fuller - 2004 - books.google.com
This book provides a unified approach to much of the theories of equivalence and duality
between categories of modules that has transpired over the last 45 years. In particular …

[PDF][PDF] Costar modules

RR Colby, KR Fuller - Journal of Algebra, 2001 - core.ac.uk
1. INTRODUCTION wx w Both quasi-progenerators 13 and tilting modules over arbitrary
rings 6, x 17, 21 induce equivalences between certain categories of modules that are wx …

Morita dualities induced by the M-dual functors

JL Gómez Pardo, PA Guil Asensio… - Communications in …, 1994 - Taylor & Francis
RSR R'R sufficient conditions for a bimodule RMS to induce a duality of this type, showing
also how these results could be applied to (ordinary) Morita duality. The study of these …

On quasi-duaiity modules

KR Fuller, W Xue - Communications in Algebra, 2000 - Taylor & Francis
Regarding a generalization of Morita duality, as in [F] we call a module I/Ck with
endomorphism ring S a quasi-dualzty module if it represents a duality between the finitely …

A note on quasi-duality

KR Fuller - Abelian Groups, Module Theory, and Topology, 2019 - api.taylorfrancis.com
abelian groups, module theory, and topology: proceedings in honour of Adalberto Orsatti's 60th
birthday Page 1 A Note on Quasi-Duality Kent R. Fuller Department of Mathematics, University …

Orsatti's contribution to module theory

C Menini - Abelian Groups, Module Theory, and Topology, 2019 - taylorfrancis.com
I met Adalberto for the first time in November 1972: I was a first year student in Mathematics
and he was my Algebra Professor. I do remember those tough days pretty well: the word …

Natural and doubly natural dualities

KR Fuller - Communications in Algebra®, 2006 - Taylor & Francis
Full article: Natural and Doubly Natural Dualities Skip to Main Content Taylor and Francis
Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …

Dualities and dimensions of endomorphism rings

A Del Rio, M Saorin - Tsukuba journal of mathematics, 1991 - JSTOR
A duality between two categories C and 3) is an equivalence of categories between the dual
category Cop of C and 3). The idea of studying dualities between full subcategories of …

-costar modules

Z Zhang, J Wei - Communications in Algebra, 2019 - Taylor & Francis
In this article, we study a natural generalization of finitistic n-self-cotilting modules (and
hence also of costar-modules) by introducing the notion of∞-costar modules over any ring …