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作者:

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

收录:

SCIE

摘要:

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.

关键词:

almost split sequence Gorenstein coalgebra Gorenstein injective comodule transpose

作者机构:

  • [ 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

通讯作者信息:

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

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来源 :

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY

ISSN: 0304-9914

年份: 2021

期: 4

卷: 58

页码: 1019-1033

0 . 6 0 0

JCR@2022

ESI高被引阀值:5

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