Ω-Gorenstein Projective and Flat Covers andΩ-Gorenstein Injective Envelopes

Autor:	Edgar E. Enochs, Overtoun M. G. Jenda
Rok vydání:	2004
Předmět:	Discrete mathematics Pure mathematics Ring (mathematics) Algebra and Number Theory Mathematics::Commutative Algebra Mathematics::Rings and Algebras Injective module Flat module Injective function Mathematics::Algebraic Geometry Projective cover Projective test Mathematics Resolution (algebra)
Zdroj:	Communications in Algebra. 32:1453-1470
ISSN:	1532-4125 0092-7872
DOI:	10.1081/agb-120028791
Popis:	In this paper, we show that if R is a local Cohen–Macaulay ring admitting a dualizing module Ω, then Ω-Gorenstein projective and flat covers and Ω-Gorenstein injective envelopes exist for certain modules. These results generalize the well known results for local Gorenstein rings.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3cbe0592382564a72505a599e5ad701c https://doi.org/10.1081/agb-120028791 Zobrazit plný text záznamu