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GORENSTEIN SILTING COMPLEXES

Part of: Modules, bimodules and ideals Representation theory of rings and algebras Homological methods

Published online by Cambridge University Press:  28 January 2021

WEIQING CAO  and
JIAQUN WEI
WEIQING CAO
Affiliation:
Institute of Mathematics, School of Mathematics Sciences, Nanjing Normal University, Nanjing 210023 China e-mails: caoweiqing18@163.com; weijiaqun@njnu.edu.cn
JIAQUN WEI
Affiliation:
Institute of Mathematics, School of Mathematics Sciences, Nanjing Normal University, Nanjing 210023 China e-mails: caoweiqing18@163.com; weijiaqun@njnu.edu.cn
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Abstract

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We introduce and study the notion of Gorenstein silting complexes, which is a generalization of Gorenstein tilting modules in Gorenstein-derived categories. We give the equivalent characterization of Gorenstein silting complexes. We give a sufficient condition for a partial Gorenstein silting complex to have a complement.

MSC classification

Primary: 16D90: Module categories ; module theory in a category-theoretic context; Morita equivalence and duality
Secondary: 16E05: Syzygies, resolutions, complexes 16E35: Derived categories 16G10: Representations of Artinian rings

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 64 , Issue 1 , January 2022 , pp. 122 - 135
Copyright
© The Author(s), 2021. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust

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