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Equivalences of stable categories of Gorenstein local rings

Part of: Theory of modules and ideals Commutative algebra: Homological methods

Published online by Cambridge University Press:  08 January 2025

Tony J. Puthenpurakal
Tony J. Puthenpurakal*
Affiliation:
Department of Mathematics, IIT-Bombay, Powai, Maharashtra, India, 400076
*
e-mail: [email protected]
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Abstract

In this paper, we show existence of bountiful examples of Gorenstein local rings A and B such that there is a triangle equivalence between the stable categories CM(A), CM(B).

Keywords

Stable category of Gorenstein ringsHensel ringsGrothendieck groups

MSC classification

Primary: 13D09: Derived categories 13D15: Grothendieck groups, $K$-theory
Secondary: 13C14: Cohen-Macaulay modules 13C60: Module categories
Type
Article
Information
Canadian Mathematical Bulletin , Volume 68 , Issue 1 , March 2025 , pp. 338 - 348
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Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of Canadian Mathematical Society

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