[引用][C] On equivalences between module subcategories

M Sato - Journal of Algebra, 1979 - Elsevier
Let A and B be associative rings with unit, Mod-A and Mod-B categories of unital right A-
modules and unital right B-modules respectively. For an AB-bimodule* UB, we consider two …

Monads and comonads on module categories

G Böhm, T Brzeziński, R Wisbauer - Journal of Algebra, 2009 - Elsevier
Let A be a ring and MA the category of right A-modules. It is well known in module theory
that any A-bimodule B is an A-ring if and only if the functor−⊗ AB: MA→ MA is a monad (or …

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 …

Idempotent monads and⋆-functors

J Clark, R Wisbauer - Journal of Pure and Applied Algebra, 2011 - Elsevier
For an associative ring R, let P be an R-module with S= EndR (P). C. Menini and A. Orsatti
posed the question of when the related functor HomR (P,−)(with left adjoint P⊗ S−) induces …

Notes on operator categories

S Yamagami - Journal of the Mathematical Society of Japan, 2007 - jstage.jst.go.jp
Notes on operator categories Page 1 J. Math. Soc. Japan Vol. 59, No. 2 (2007) pp. 541–555
Notes on operator categories By Shigeru Yamagami (Received Jan. 27, 2006) (Revised …

[HTML][HTML] Derived equivalences of functor categories

J Asadollahi, R Hafezi, R Vahed - Journal of Pure and Applied Algebra, 2019 - Elsevier
Let Mod-S denote the category of S-modules, where S is a small pre-additive category.
Using the notion of relative derived categories of functor categories, we generalize Rickard's …

[PDF][PDF] Some applications of module theory to functor categories

B Mitchell - 1978 - projecteuclid.org
Introduction. The notion of an additive category was abstracted from the example of all
modules over a ring, a very large category. However with tongue firmly in cheek, one can …

Dualities between categories of topological modules

C Menini, A Orsatti - Communications in algebra, 1983 - Taylor & Francis
Dualities between categories of topological modules Page 1 COMMUNICATIONS IN ALGEBRA,
11 (I), 21-66 (1983) DUALITIES BETWEEN CATEGORIES OF TOPOLOGICAL MODULES C …

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] Crossed bimodules over rings and Shukla cohomology

NT Quang, PT Cuc - Mathematical Communications, 2012 - hrcak.srce.hr
Crossed bimodules over rings and Shukla cohomology 1. Introduction Page 1
MATHEMATICAL COMMUNICATIONS 575 Math. Commun. 17(2012), 575–598 Crossed …