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Author:

Hu, Yonggang (Hu, Yonggang.) | Yao, Hailou (Yao, Hailou.) (Scholars:姚海楼)

Indexed by:

Scopus SCIE

Abstract:

Let be an Artin algebra and M mod. It is well-known that the Bongartz's Theorem plays an important role in the representation theory of Artin algebras. In this paper, we investigate the relative version of the Bongartz's Theorem in the bounded homotopy category Kb(addM) and construct a Bongartz's completion for an addM-relative presilting complex in Kb(addM) such that it becomes an addM-relative silting complex. Finally, we give some applications.

Keyword:

Silting complex Relative presilting complex Homotopy category Relative silting complex

Author Community:

  • [ 1 ] [Hu, Yonggang]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Yao, Hailou]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

Reprint Author's Address:

  • 姚海楼

    [Yao, Hailou]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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Source :

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY

ISSN: 1017-060X

Year: 2019

Issue: 3

Volume: 45

Page: 667-681

0 . 7 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:54

JCR Journal Grade:4

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 6

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