Injective envelopes and (Gorenstein) flat covers
EE Enochs, Z Huang - Algebras and representation theory, 2012 - Springer
… duality property of injective preenvelopes and flat precovers. For … flat dimension of the
injective envelope of any (Gorenstein) flat left R-module is at most the flat dimension of the injective …
injective envelope of any (Gorenstein) flat left R-module is at most the flat dimension of the injective …
Injective envelopes and flat covers of modules over a commutative ring
X Weimin - Journal of Pure and Applied Algebra, 1996 - Elsevier
… flat covers of modules was introduced by Enochs in [3]. In this paper, we study the relation
between flat covers and injective envelopes … ) mean the flat dimension and injective dimension …
between flat covers and injective envelopes … ) mean the flat dimension and injective dimension …
Envelopes of covers and covers of envelopes
D Zhou - Communications in Algebra®, 2005 - Taylor & Francis
… the ℒ-projective cover of the P(ℒ)-injective envelope of this module. … 3.4.8) that the flat cover
of the cotorsion envelope of M is … As we know, the injective envelope of R R need not always …
of the cotorsion envelope of M is … As we know, the injective envelope of R R need not always …
Envelopes and covers
J Xu, J Xu - Flat Covers of Modules, 1996 - Springer
… These notions were directly motivated by injective envelopes. In this general setting, all …
envelopes and covers, such as injective envelopes, pure injective envelopes, projective covers …
envelopes and covers, such as injective envelopes, pure injective envelopes, projective covers …
Envelopes and Covers by Modules of Finite FP-Injective and Flat Dimensions
L Mao, N Ding - Communications in Algebra®, 2007 - Taylor & Francis
Let R be a ring, n a fixed non-negative integer and ℱ ℐ n (ℱ n ) the class of all right (left) R-modules
of FP-injective (flat) dimension at most n. We prove that ( is a perfect cotorsion theory …
of FP-injective (flat) dimension at most n. We prove that ( is a perfect cotorsion theory …
A note on existence of envelopes and covers
J Chen, N Ding - Bulletin of the Australian Mathematical Society, 1996 - cambridge.org
… C-envelope of M. If C is the class of injective modules, then we get the usual injective envelopes…
For C some familiar class of modules, say the class of flat (respectively finitely projective, …
For C some familiar class of modules, say the class of flat (respectively finitely projective, …
Pure-injective envelopes
I Herzog - Journal of Algebra and its Applications, 2003 - World Scientific
… an associative ring R with identity admits a flat cover. Enochs, Estrada, Garcia … a flat
cover for any object in a Grothendieck category with a flat generator. The existence of pure-injective …
cover for any object in a Grothendieck category with a flat generator. The existence of pure-injective …
[PDF][PDF] On flat and projective envelopes
JA Mayor, JM Hernandez - Journal of algebra, 1993 - core.ac.uk
… If we replace flat by injective in the above conditions, we get the usual concept of injective …
Let M be a finitely generated right module and f: P – M* the projective cover of its dual module (…
Let M be a finitely generated right module and f: P – M* the projective cover of its dual module (…
[图书][B] Covers and envelopes in the category of complexes of modules
JRG Rozas - 2022 - taylorfrancis.com
… of pure injective envelopes of complexes and we enlarge the class of Gorenstein projective
complexes to get Gorenstein flat complexes and show that this class is a covering class over …
complexes to get Gorenstein flat complexes and show that this class is a covering class over …
Injective and flat covers, envelopes and resolvents
EE Enochs - Israel journal of mathematics, 1981 - Springer
… of an injective envelope, injective covers can be … an injective cover from the existence of a
precover. Some of the proofs will apply to other types of covers and envelopes (eg, flat covers). …
precover. Some of the proofs will apply to other types of covers and envelopes (eg, flat covers). …
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