On a homological characterization of a certain class of local rings

A. F. Ivanov

doi:10.1070/SM1981v038n03ABEH001444

On a homological characterization of a certain class of local rings

A. F. Ivanov

Penn State Wilkes-Barre

Research output: Contribution to journal › Article › peer-review

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Abstract

It is shown that the nondegeneracy of the Yoneda product (formula ommited) (M is either a noetherian module or a complex of finite projective dimension, and k is the residue field) characterizes the regularity of the ring A, whereas the isomorphism (formula ommited) characterizes the fact that A is Gorenstein.

Original language	English (US)
Pages (from-to)	421-425
Number of pages	5
Journal	Mathematics of the USSR - Sbornik
Volume	38
Issue number	3
DOIs	https://doi.org/10.1070/SM1981v038n03ABEH001444
State	Published - Apr 30 1981

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1070/SM1981v038n03ABEH001444

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AB - It is shown that the nondegeneracy of the Yoneda product (formula ommited) (M is either a noetherian module or a complex of finite projective dimension, and k is the residue field) characterizes the regularity of the ring A, whereas the isomorphism (formula ommited) characterizes the fact that A is Gorenstein.

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On a homological characterization of a certain class of local rings

Abstract

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