By a well known theorem of K. Morita, any equivalence between full module categories over
rings R and S, are given by a bimodule RPS, such that RP is a finitely generated projective …

91. Background A subclass T of mod-R is called an hereditary torsion class if it is closed
under submodul es, homomorphic images, extensions and direct sums. The class T …

Given a compactly generated triangulated category and a generating set ℛ of compact
objects, the class of ℛ-injective objects is introduced. If is compact and ℛ={ΣnX} n∈ ℤ it is …

This book is an introduction to the theory of rings and modules that goes beyond what one
normally obtains in a graduate course in abstract algebra. The theme of the text is the …

An exact sequence 0--f L--+ M-+ N-+ 0 of right A-modules (where A is a ring) is called pure if
its exactness is preserved when tensoring it with any left A-module ([3]; cf. also [ZO] for …

In the context of semi-abelian categories, we develop some new xaspects of the categorical
theory of central extensions by Janelidze and Kelly. If C is a semi-abelian category and X is …

After the introduction hy Enochs [9] of the concepts of (pre) erlveIope and I llrejcover of a
module 1r1 a gi\wi class F of modules, there has been great interest in tllelr stud;, specially …

The paper is devoted to study some of the questions arises naturally in connection to the
notion of relative derived categories. In particular, we study invariants of recollements …

We present a collection of finitely generated projective generators for the category of graded
modules over a unital semigroup-graded ring. Consequences of the existence of such a …

Let R be a commutative noetherian ring. Denote by mod\, R mod R the category of finitely
generated R-modules. In this paper, we study n-torsionfree modules in the sense of …