The converse to a theorem of Sharp on Gorenstein modules
Author:
Idun Reiten
Journal:
Proc. Amer. Math. Soc. 32 (1972), 417-420
MSC:
Primary 13H10
DOI:
https://doi.org/10.1090/S0002-9939-1972-0296067-7
MathSciNet review:
0296067
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Abstract | References | Similar Articles | Additional Information
Abstract: Let A be a commutative local Noetherian ring with identity of Krull dimension n, m its maximal ideal. Sharp has proved that if A is Cohen-Macauley and a homomorphic image of a Gorenstein local ring, then A has a Gorenstein module M with . The aim of this note is to prove the converse to this theorem.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1972-0296067-7
Keywords:
Commutative Noetherian ring,
Cohen-Macaulay ring,
Gorenstein ring,
Gorenstein module
Article copyright:
© Copyright 1972
American Mathematical Society