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 …

The term The Theory of Rings seems first used as title of a book by Jacobson [43], and in his
preface Jacobson asserts that the theory that forms the subject of the book had its beginning …

Module theory over commutative asociative rings is usually extended to noncommutative
associative rings by introducing the category of left (or right) modules. An alternative to this …

Let R be an associative ring, not necessarily with identity. A subset E of R is called a set of
local units (slu) for R in case E is a set of commutinq idempotents such that for each x in R …

ON RINGS WHOSE LEFT MODULES ARE MODULES Page 1 PROCEEDINGS OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 54, January 1976 ON RINGS WHOSE LEFT …

Covers and Envelopes via Endoproperties of Modules Page 1 COVERS AND ENVELOPES VIA
ENDOPROPERTIES OF MODULES LIDIA ANGELERI-HUÈ GEL Precovers and preenvelopes …

Precovers and preenvelopes were introduced in the early eighties by Enochs [48] and,
independently, by Auslander and Smalø [16]. Enochs gave a general definition in terms of …

In this note, as a continuos work we define quasi-Frobenius categories (briefly QF) and
generalize some properties of ζλF-rings. Let SI be a Grothendieck category. We always …

We show that if R is a, not necessarily unital, ring graded by a semigroup G equipped with
an idempotent e such that G is cancellative at e, the nonzero elements of eGe form a …

In this paper, we investigate locally finitely presented pure semisimple (hereditary)
Grothendieck categories. We show that every locally finitely presented pure semisimple …