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Research Article | Open Access

Weakly Gorenstein comodules over triangular matrix coalgebras

Dingguo Wang1( ), Chenyang Liu1,2, Xuerong Fu3
School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, China
Zhangjiakou Zhangbei Dezhi Middle school, Zhangjiakou, Hebei 076450, China
School of Mathematics and Statistics, Heze University, Heze, Shandong 274015, China
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Abstract

In this paper, we characterise weakly Gorenstein injective and weakly Gorenstein coflat comodules over triangular matrix coalgebras by introducing the class of weakly compatible bicomodules. In particular, Gorenstein injective and Gorenstein coflat comodules are investigated.

Keywords

triangular matrix coalgebraweakly Gorenstein comoduleweakly compatible bicomodule
CLC number: 18G10, 18G25

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AIMS Mathematics
Volume 7 Issue 8,
August 2022
Pages 15471-15483
DOI: 10.3934/math.2022847

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Cite this article:
Wang D, Liu C, Fu X. Weakly Gorenstein comodules over triangular matrix coalgebras. AIMS Mathematics, 2022, 7(8): 15471-15483. https://doi.org/10.3934/math.2022847

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Received: 10 March 2022
Revised: 14 June 2022
Accepted: 15 June 2022
Published: 15 August 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)