[图书][B] On some precovers and preenvelopes
LA Hügel - 2000 - Citeseer
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 …
independently, by Auslander and Smalø [16]. Enochs gave a general definition in terms of …
Rings characterized by (pre) envelopes and (pre) covers of their modules
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 …
module 1r1 a gi\wi class F of modules, there has been great interest in tllelr stud;, specially …
All modules have flat covers
L Bican, R El Bashir, E Enochs - Bulletin of the London …, 2001 - Wiley Online Library
In this paper we give two different proofs that the flat cover conjecture is true: that is, every
module has a flat cover. The two proofs are of completely different nature, and, we hope, will …
module has a flat cover. The two proofs are of completely different nature, and, we hope, will …
Extending modules relative to module classes
S Dogruoz - 1997 - theses.gla.ac.uk
The purpose of this study is to give an up-to-date presentation of known and new results on
extending modules and related notions with respect to an R-module class X. By assuming …
extending modules and related notions with respect to an R-module class X. By assuming …
Projective envelopes of finitely generated modules
A well known problem in the theory of envelopes is to characterize those rings having the
property that every (finitely generated, finitely presented, simple) module has a projective …
property that every (finitely generated, finitely presented, simple) module has a projective …
Purity and algebraic compactness for modules
R Warfield - Pacific Journal of Mathematics, 1969 - msp.org
A submodule A of a left module B (over an associative ring with 1) is pure if for any right
module F, the natural homomorphism F⊗ A→ F⊗ B is injective. A module C is pure-injective …
module F, the natural homomorphism F⊗ A→ F⊗ B is injective. A module C is pure-injective …
Explicit descriptions of injective envelopes: generalizations of a result of Northcott
TG Kucera - Communications in Algebra, 1989 - Taylor & Francis
According to classic results of Matlis [lo, Theorem 2.5, 2.71 every injective module over a
Noetherian ring A can be expressed uniquely as the direct sum of indecomposable injective …
Noetherian ring A can be expressed uniquely as the direct sum of indecomposable injective …
[图书][B] Covers and envelopes in the category of complexes of modules
JRG Rozas - 2022 - taylorfrancis.com
Over the last few years, the study of complexes has become increasingly important. To date,
however, most of the research is scattered throughout the literature or available only as …
however, most of the research is scattered throughout the literature or available only as …
Corational extensions and pseudo-projective modules
L Bican - Acta Mathematica Academiae Scientiarum Hungarica, 1976 - akjournals.com
The restricted injective envelopes with respect to various types of preradicals have been
studied by many authors (see eg [2],[6],[8],[10]). In the second paragraph we shall dualize …
studied by many authors (see eg [2],[6],[8],[10]). In the second paragraph we shall dualize …