Commutative extensions by canonical modules are Gorenstein rings

Fossum, Robert

doi:10.1090/S0002-9939-1973-0318139-1

Commutative extensions by canonical modules are Gorenstein rings
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Proc. Amer. Math. Soc. 40 (1973), 395-400 Request permission

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.

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