On singular equivalences of morita type

Guodong Zhou; Alexander Zimmermann

doi:10.1016/j.jalgebra.2013.03.019

On singular equivalences of morita type

Guodong Zhou^*
, Alexander Zimmermann

^*Corresponding author for this work

School of Mathematical Sciences

Université de Picardie Jules Verne

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

33 Scopus citations

Abstract

Stable equivalences of Morita type preserve many interesting properties and are proved to be the appropriate concept for studying equivalences between stable categories. Recently the singularity category attained much attraction and Xiao-Wu Chen and Long-Gang Sun gave an appropriate definition of singular equivalence of Morita type. We shall show that under some conditions singular equivalences of Morita type have some biadjoint functor properties and preserve positive degree Hochschild homology.

Original language	English
Pages (from-to)	64-79
Number of pages	16
Journal	Journal of Algebra
Volume	385
DOIs	https://doi.org/10.1016/j.jalgebra.2013.03.019
State	Published - 1 Jul 2013

Keywords

Hochschild homology
Singular equivalences of Morita type
Singularity categories

Access to Document

10.1016/j.jalgebra.2013.03.019

Cite this

@article{581eff027ee1465c842553b517f33284,

title = "On singular equivalences of morita type",

abstract = "Stable equivalences of Morita type preserve many interesting properties and are proved to be the appropriate concept for studying equivalences between stable categories. Recently the singularity category attained much attraction and Xiao-Wu Chen and Long-Gang Sun gave an appropriate definition of singular equivalence of Morita type. We shall show that under some conditions singular equivalences of Morita type have some biadjoint functor properties and preserve positive degree Hochschild homology.",

keywords = "Hochschild homology, Singular equivalences of Morita type, Singularity categories",

author = "Guodong Zhou and Alexander Zimmermann",

year = "2013",

month = jul,

day = "1",

doi = "10.1016/j.jalgebra.2013.03.019",

language = "英语",

volume = "385",

pages = "64--79",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - On singular equivalences of morita type

AU - Zhou, Guodong

AU - Zimmermann, Alexander

PY - 2013/7/1

Y1 - 2013/7/1

N2 - Stable equivalences of Morita type preserve many interesting properties and are proved to be the appropriate concept for studying equivalences between stable categories. Recently the singularity category attained much attraction and Xiao-Wu Chen and Long-Gang Sun gave an appropriate definition of singular equivalence of Morita type. We shall show that under some conditions singular equivalences of Morita type have some biadjoint functor properties and preserve positive degree Hochschild homology.

AB - Stable equivalences of Morita type preserve many interesting properties and are proved to be the appropriate concept for studying equivalences between stable categories. Recently the singularity category attained much attraction and Xiao-Wu Chen and Long-Gang Sun gave an appropriate definition of singular equivalence of Morita type. We shall show that under some conditions singular equivalences of Morita type have some biadjoint functor properties and preserve positive degree Hochschild homology.

KW - Hochschild homology

KW - Singular equivalences of Morita type

KW - Singularity categories

UR - https://www.scopus.com/pages/publications/84876500018

U2 - 10.1016/j.jalgebra.2013.03.019

DO - 10.1016/j.jalgebra.2013.03.019

M3 - 文章

AN - SCOPUS:84876500018

SN - 0021-8693

VL - 385

SP - 64

EP - 79

JO - Journal of Algebra

JF - Journal of Algebra

ER -

On singular equivalences of morita type

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this