Commutative extensions by canonical modules are Gorenstein rings-Reference-Cited by-同舟云学术

Commutative extensions by canonical modules are Gorenstein rings

Published:1973 Issue:2 Volume:40 Page:395-400
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Fossum Robert

Abstract

Reiten has demonstrated that the trivial Hochschild extension of a Cohen-Macaulay local ring by a canonical module is a Gorenstein local ring. Here it is proved that any commutative extension of a Cohen-Macaulay local ring by a canonical module is a Gorenstein ring. Also Gorenstein extensions of a local Cohen-Macaulay ring by a module are studied.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1973-040-02/S0002-9939-1973-0318139-1/S0002-9939-1973-0318139-1.pdf

Reference8 articles.

1. On the ubiquity of Gorenstein rings;Bass, Hyman;Math. Z.,1963

2. R. Fossum, P. Griffith and I. Reiten, The homological algebra of trivial extensions with applications to ring theory (to appear).

3. Gorenstein modules and related modules;Foxby, Hans-Bjørn;Math. Scand.,1972

4. Lecture Notes in Mathematics, No. 41;Hartshorne, Robin,1967

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