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Author:

Li, Yexuan (Li, Yexuan.) | Yao, Hailou (Yao, Hailou.) (Scholars:姚海楼)

Indexed by:

Scopus SCIE

Abstract:

Let Gamma be a Gorenstein coalgebra over a filed k. We introduce the Gorenstein transpose via a minimal Gorenstein injective copresentation of a quasi-finite Gamma-comodule, and obtain a relation between a Gorenstein transpose of a quasi-finite comodule and a transpose of the same comodule. As an application, we obtain that the almost split sequences are constructed in terms of Gorenstein transpose.

Keyword:

Gorenstein coalgebra transpose Gorenstein injective comodule almost split sequence

Author Community:

  • [ 1 ] [Li, Yexuan]Beijing Univ Technol, Coll Math, Fac Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Yao, Hailou]Beijing Univ Technol, Coll Math, Fac Sci, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Li, Yexuan]Beijing Univ Technol, Coll Math, Fac Sci, Beijing 100124, Peoples R China

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Source :

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY

ISSN: 0304-9914

Year: 2021

Issue: 4

Volume: 58

Page: 1019-1033

0 . 6 0 0

JCR@2022

ESI HC Threshold:31

JCR Journal Grade:4

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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