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^*

^*Corresponding author for this work

Beijing Normal University
Paderborn University

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

4 Scopus citations

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 Pogorzały and Xi.

Original language	English
Pages (from-to)	511-518
Number of pages	8
Journal	Archiv der Mathematik
Volume	94
Issue number	6
DOIs	https://doi.org/10.1007/s00013-010-0137-x
State	Published - 2010
Externally published	Yes

Keywords

Stable Hochschild cohomology
Stable equivalence of Morita type

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10.1007/s00013-010-0137-x

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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",

doi = "10.1007/s00013-010-0137-x",

language = "英语",

volume = "94",

pages = "511--518",

journal = "Archiv der Mathematik",

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

AU - Pan, Shengyong

AU - Zhou, Guodong

PY - 2010

Y1 - 2010

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

Abstract

Keywords

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