We consider a small category naturally associated with any fixed RS-bimodule MS R. The
class of objects of this category is the underlying set M of MS R. Some additive …

In this paper we use the classical Wedderburn's Kronecker Factorization Theorem to prove
that category of bimodules over $ B $ and the category of bimodules over $ M_ {n}(B) $ are …

The study of block decompositions of matrices is one of the classical themes in Linear
Algebra. One of the modern approaches to study this kind of problems is considering the …

For a ring A and its left ideal J, the eigen-ring [1] is defined by the quotient of the idealizer by
J where the idealizer is the maximal subring of A which contains J as a two-sided ideal. Let k …

CARTESIAN BICATEGORIES I Page 1 Journal of Pure and Applied Algebra 49 (1987) 11-32
North-Holland CARTESIAN BICATEGORIES I A. CARBONI Dipartimento di Matematica …

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 …

To a B-coring and a (B, A)-bimodule that is finitely generated and projective as a right A-
module an A-coring is associated. This new coring is termed a base ring extension of a …

Abstract Jonsson, H. 2023. Structure and representations of bimodule categories. Uppsala
Dissertations in Mathematics 133. Uppsala: Department of Mathematics. ISBN 978-91-506 …

In a series of papers additive subbifunctors $ F $ of the bifunctor $\operatorname {Ext} _
{\Lambda}(,) $ are studied in order to establish a relative homology theory for an artin …

Invariant forms on modules with operators Page 1 and A is a subgroup of P(a) containing Q(a).
The subgroup H and the pair (a, A) correspond to each other when, and only when, H = AG(cr) …