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Author:

Yao, H. (Yao, H..) | Yuan, Q. (Yuan, Q..)

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Scopus SCIE

Abstract:

We describe the Gorenstein derived categories of Gorenstein rings via the homotopy categories of Gorenstein injective modules. We also introduce the concept of Gorenstein cosilting complexes and study its basic properties. This concept is generalized by cosilting complexes in relative homological methods. Furthermore, we investigate the exis-tence of the relative version of the Bongartz’s theorem and construct a Bongartz’s complement for a Gorenstein precosilting complex. © 2023 Korean Mathematical Society.

Keyword:

Gorenstein injective module Gorenstein derived category Gorenstein cosilting complex

Author Community:

  • [ 1 ] [Yao H.]Department of Mathematics, Faculty of Science, Beijing University of Technology, Beijing, 100124, China
  • [ 2 ] [Yuan Q.]Department of Mathematics, Faculty of Science, Beijing University of Technology, Beijing, 100124, China

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Source :

Journal of the Korean Mathematical Society

ISSN: 0304-9914

Year: 2023

Issue: 6

Volume: 60

Page: 1337-1364

0 . 6 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:9

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 10

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