Adjoint functors and equivalences of subcategories

FC Iglesias, J Gómez-Torrecillas, R Wisbauer - Bulletin des sciences …, 2003 - Elsevier
For any left R-module P with endomorphism ring S, the adjoint pair of functors P⊗ S− and
HomR (P,−) induce an equivalence between the categories of P-static R-modules and P …

[PDF][PDF] Linearly compact dual-bimodules

Y Kurata, S Tsuboi - Math. J. Okayama Univ, 1991 - math.okayama-u.ac.jp
Let R and S be rings with identity and Qs an (R, S)-bimodule. In the Page 1 Math. J. Okayama
Univ. 33 (1991), 149 - 154 LINEARLY COMPACT DUAL- BIMODULES Dedicated to Professor …

Dualities between finitely closed subcategories of modules

RNS Macdonald - 1977 - macsphere.mcmaster.ca
The thesis studies dualities between categories of modules which are finitely closed, ie
closed under submodules, factor modules and finite direct sums. Omitting the requirement …

Morita equivalence of module categories with tensor products

P Bodo - Communications in Algebra, 1981 - Taylor & Francis
Let k be a commutative ring. If B is a k-bialgebra then the category B-Mod of left B-modules
is a monoidal category with the tensor-product M ek N of two B-modules made again into a B …

[PDF][PDF] Morphisms and modules for poly-bicategories

JRB Cockett, J Koslowski, RAG Seely - Theory and Applications of …, 2003 - tac.mta.ca
Linear bicategories are a generalization of ordinary bicategories in which there are two
horizontal (1-cell) compositions corresponding to the “tensor” and “par” of linear logic …

[PDF][PDF] On the structure of∗-modules

R Colpi, C Menini - Journal of Algebra, 1993 - academia.edu
The notion of*-module arises from the paper [MOJ of Menini and Orsatti, where the following
result is proved: let A and R be rings, let%, be a subcategory of Mod-A closed under …

Injectivity and cogenerator properties of a ring as bimodule

R Wisbauer - Communications in algebra, 1990 - Taylor & Francis
For an associative ring A with identity let A-Mod denote the category of unitary left A-
modules. If A is commutative the following properties are equivalent:(a) A is a cogenerator in …

A Theorem on Extensions of Bimodules

G D'Este - Abelian Groups, Module Theory, and Topology, 2019 - taylorfrancis.com
In this note, given an RS bimodule RVS, we investigate some bimodules of the form Ext A 1
https://s3-euw1-ap-pe-df-pch-content-public-p. s3. eu-west-1. amazonaws …

Separable bimodules and approximation

S Caenepeel, B Zhu - Algebras and representation theory, 2005 - Springer
Using approximations, we give several characterizations of separability of bimodules. We
also discuss how separability properties can be used to transfer some representation …

Self linearly compact rings and dualities

G Favero, E Gregorio - Abelian Groups, Module Theory, and …, 2019 - api.taylorfrancis.com
The study of dualities between categories of modules generalizing Morita duality cannot
dispense with the use of topologies (see [1, 2, 3, 7, 8]). In this paper we try to give a new …