J. Korean Math. Soc. Published online April 2, 2021
Yexuan Li and Hailou Yao
School of Mathematics, Faculty of Science, Beijing University of Technology
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.