On a homological characterization of a certain class of local rings

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 languageEnglish (US)
Pages (from-to)421-425
Number of pages5
JournalMathematics of the USSR - Sbornik
Volume38
Issue number3
DOIs
StatePublished - Apr 30 1981

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Projective Dimension
Product formula
Nondegeneracy
Gorenstein
Noetherian
Local Ring
Isomorphism
Regularity
Ring
Module
Class

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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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.",
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On a homological characterization of a certain class of local rings. / Ivanov, Anatoli.

In: Mathematics of the USSR - Sbornik, Vol. 38, No. 3, 30.04.1981, p. 421-425.

Research output: Contribution to journalArticle

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