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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.
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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