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Gorenstein Flat Covers of Modules over Gorenstein Rings

✍ Scribed by Edgar Enochs; Jinzhong Xu


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
220 KB
Volume
181
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


Gorenstein Flat Covers of Modules over G
✍ Edgar Enochs; Jinzhong Xu πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 220 KB

A left and right Noetherian ring R is called Gorenstein if both R and R have R R finite injective dimensions. These rings were studied by Bass for the commutative case and Iwanaga for the noncommutative case. In this paper, we define Gorenstein flat modules over a Gorenstein ring. These modules are

Covers and Envelopes over gr-Gorenstein
✍ M.J Asensio; J.A LΓ³pez-Ramos; B Torrecillas πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 148 KB

In this paper we study the existence of Gorenstein injective envelopes and Gorenstein projective and flat covers in the category of graded modules and we relate them with the corresponding envelopes and covers in the category of modules.

Gorenstein projective and flat complexes
✍ E. Enochs; S. Estrada; A. Iacob πŸ“‚ Article πŸ“… 2012 πŸ› John Wiley and Sons 🌐 English βš– 235 KB

## Abstract We give sufficient conditions on a class of __R__‐modules \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathcal {C}$\end{document} in order for the class of complexes of \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathcal

Gorenstein modules of finite length
✍ Michael Kunte πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 235 KB

In Commutative Algebra structure results on minimal free resolutions of Gorenstein modules are of classical interest. We define Symmetrically Gorenstein modules of finite length over the weighted polynomial ring via symmetric matrices in divided powers. We show that their graded minimal free resolu

Indecomposable Gorenstein Modules of Odd
✍ Christel Rotthaus; Dana Weston; Roger Wiegand πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 60 KB

Let R, m be a local Cohen᎐Macaulay ring with m-adic completion R. A Gorenstein R-module is a non-zero finitely generated R-module whose m-adic completion is isomorphic to a direct sum of copies of the canonical module . ## R The rank of the Gorenstein module G is the positive integer r such that