Stable equivalences of Morita type and stable Hochschild cohomology rings

Shengyong Pan; Guodong Zhou

doi:10.1007/s00013-010-0137-x

Stable equivalences of Morita type and stable Hochschild cohomology rings

Shengyong Pan
, Guodong Zhou^*

^*此作品的通讯作者

Beijing Normal University
Paderborn University

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

We prove that a stable equivalence of Morita type between finite dimensional algebras preserves the stable Hochschild cohomology rings, that is, Hochschild cohomology rings modulo the projective center, thus generalizing the results of Pogorzały and Xi.

源语言	英语
页（从-至）	511-518
页数	8
期刊	Archiv der Mathematik
卷	94
期	6
DOI	https://doi.org/10.1007/s00013-010-0137-x
出版状态	已出版 - 2010
已对外发布	是

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title = "Stable equivalences of Morita type and stable Hochschild cohomology rings",

abstract = "We prove that a stable equivalence of Morita type between finite dimensional algebras preserves the stable Hochschild cohomology rings, that is, Hochschild cohomology rings modulo the projective center, thus generalizing the results of Pogorza{\l}y and Xi.",

keywords = "Stable Hochschild cohomology, Stable equivalence of Morita type",

author = "Shengyong Pan and Guodong Zhou",

year = "2010",

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T1 - Stable equivalences of Morita type and stable Hochschild cohomology rings

AU - Pan, Shengyong

AU - Zhou, Guodong

PY - 2010

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N2 - We prove that a stable equivalence of Morita type between finite dimensional algebras preserves the stable Hochschild cohomology rings, that is, Hochschild cohomology rings modulo the projective center, thus generalizing the results of Pogorzały and Xi.

AB - We prove that a stable equivalence of Morita type between finite dimensional algebras preserves the stable Hochschild cohomology rings, that is, Hochschild cohomology rings modulo the projective center, thus generalizing the results of Pogorzały and Xi.

KW - Stable Hochschild cohomology

KW - Stable equivalence of Morita type

UR - https://www.scopus.com/pages/publications/77953321541

U2 - 10.1007/s00013-010-0137-x

DO - 10.1007/s00013-010-0137-x

M3 - 文章

AN - SCOPUS:77953321541

SN - 0003-889X

VL - 94

SP - 511

EP - 518

JO - Archiv der Mathematik

JF - Archiv der Mathematik

IS - 6

ER -

Stable equivalences of Morita type and stable Hochschild cohomology rings

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