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THE GORENSTEIN TRANSPOSE OF COMODULES

  • Li, Yexuan (College of Mathematics, Faculty of Science Beijing University of Technology) ;
  • Yao, Hailou (College of Mathematics, Faculty of Science Beijing University of Technology)
  • Received : 2020.08.01
  • Accepted : 2020.12.23
  • Published : 2021.07.01

Abstract

Let 𝚪 be a Gorenstein coalgebra over a filed k. We introduce the Gorenstein transpose via a minimal Gorenstein injective copresentation of a quasi-finite 𝚪-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.

Keywords

Acknowledgement

This work was financially supported by National Natural Science Foundation of China (Grant No. 11671126, 12071120).

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