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 …

Page 1 PURE AND APPLIED MATHEMATICS ASeries of Monographs and Textbooks LINEAR
ALGEBRA OVER COMMUTATIVE RINGS Bernard R. McDonald Page 2 Linear Algebra Over …

Let RN be a left R-module and let B= End RM be its endomorphism ring. When investigating
the relationship between properties of B and properties of M, one very useful and well …

This survey covers material in Referativnyi Zhurnal Matematika and is a continuation of AV
Mikhalev's survey in Algebra. Topology. Geometry, Vol. 12 (Itogi Nauki i Tekhniki (1974)) …

A characterization of ring isomorphisms between endomorphism rings of infinitely generated
free modules (over arbitrary rings) is given in terms of Morita equivalences. In addition, we …

Let M be a left?-module and let S be the endomorph is^ ring of M. I n [2], under the
assumption that M is projective and contains a unimodular elenent, a proof is given that …

A survey is given of results on modules over rings, covering 1976–1980 and continuing the
series of surveys “Modules” in Itogi Nauki.

Let R be any associative ring with identity. Then the free left R-module RR (N) has
endomorphism ring isomorphic to RFM (R), the ring of N× N row-finite matrices over R. The …

Let $ _RU $ be a left R-module whose Morita context is nondegenerate and $ S={\text
{End}}(U) $. We show the following:(1) There is a projectivity (that is, an order-preserving …