The existence of flat covers

R Belshoff, EE Enochs, JZ Xu - Proceedings of the American Mathematical …, 1994 - ams.org
THE EXISTENCE OF FLAT COVERS flat, then <j> is called a flat cover of M if F' F —^— MF (b)
¡ \ F —^ M Page 1 proceedings OF THE AMERICAN MATHEMATICAL SOCIETY Volume 122 …

The existence of flat covers over Noetherian rings of finite Krull dimension

JZ Xu - Proceedings of the American Mathematical Society, 1995 - ams.org
Bass characterized the rings R with the property that every left R-module has a projective
cover. These are the left perfect rings. A ring is left perfect if and only if the class of projective …

Direct sums of exact covers of complexes

A Iacob - Mathematica Scandinavica, 2006 - JSTOR
A ring R is left noetherian if and only if the direct sum of injective envelopes of any family of
left R-modules is the injective envelope of the direct sum of the given family of modules (or …

Covers by flat modules and submodules of flat modules

EE Enochs - Journal of Pure and Applied Algebra, 1989 - Elsevier
If R is a right coherent ring, then left R-modules have covers by submodules of flat R-
modules if and only if all injective left R-modules have flat covers. This is the case if R is …

Coherent rings and absolutely pure covers

G Dai, N Ding - Communications in Algebra, 2018 - Taylor & Francis
Full article: Coherent rings and absolutely pure covers Skip to Main Content Taylor and Francis
Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …

[PDF][PDF] When every finitely generated flat module is projective

G Puninski, P Rothmaler - Journal of Algebra, 2004 - core.ac.uk
When every finitely generated flat module is projective Page 1 Journal of Algebra 277 (2004)
542–558 www.elsevier.com/locate/jalgebra When every finitely generated flat module is …

The existence of Gorenstein flat covers

EE Enochs, OMG Jenda, JA López-Ramos - Mathematica Scandinavica, 2004 - JSTOR
THE EXISTENCE OF GORENSTEIN FLAT COVERS Page 1 MATH. SCAND. 94 (2004), 46-62
THE EXISTENCE OF GORENSTEIN FLAT COVERS EDGAR Ε. ENOCHS, OVERTOUN ΜGJENDA …

A note on existence of envelopes and covers

J Chen, N Ding - Bulletin of the Australian Mathematical Society, 1996 - cambridge.org
We prove the following results for a ring R.(a) If C is a class of right R-modules closed under
direct summands and isomorphisms, then every right R-module has an epic C-envelope if …

Rings over which flat covers of simple modules are projective

E BÜYÜKAŞIK - Journal of Algebra and its Applications, 2012 - World Scientific
RINGS OVER WHICH FLAT COVERS OF SIMPLE MODULES ARE PROJECTIVE Page 1
Journal of Algebra and Its Applications Vol. 11, No. 3 (2012) 1250046 (7 pages) c© World …

[引用][C] Monomorphic flat envelopes in commutative rings

J Asensio Mayor, J Martinez Hernandez - Archiv der Mathematik, 1990 - Springer
The injective hull of a module M can be characterized as a homomorphism f: M~ E (with E an
injective module) such that for each homomorphism g: M--* E'with E'injective, there exists a …