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 …

We prove that (a) if R is a left coherent ring, then the weak global dimension w D (R)<= n
(n>= 2) if and only if every (n–2) th F–cosyzygy of a finitely presented right R–module has a …

Drinfeld recently suggested to replace projective modules by the flat Mittag-Leffler ones in
the definition of an infinite dimensional vector bundle on a scheme X (Drinfeld, 2006 [8]) …

Relative coherence and preenvelopes Page 1 manuscripta math. 81, 243- 262 (1993)
manuscripta mathematica 9 Springer rlag 1993 RELATIVE COHERENCE AND …

Here we obtain a new characterization of n-coherence, and study Z7-coherence for
polynomial rings. Using Goldie's Theorem, we show that if R is a semiprime two-sided …

Let R be a valuation ring and let Q be its total quotient ring. It is proved that any singly
projective (respectively flat) module is finitely projective if and only if Q is maximal …

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 …

We study coherence properties of a module M over its endomorphism ring. Hereby we
extend to modules known characterizations of coherent and π-coherent rings. Moreover, we …

Abstract Let R⋉ M be a trivial extension of a ring R by an RR-bimodule M. We first describe
explicitly the structure of a dual module over R⋉ M. Then we characterize Mittag-Leffler …

Some Studies on Π-Coherent Rings Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 119, Number 1, September 1993 SOME STUDIES ON If-COHERENT …