Weakly Gorenstein comodules over triangular matrix coalgebras

Dingguo Wang; Chenyang Liu; Xuerong Fu; Dingguo Wang; Chenyang Liu; Xuerong Fu

doi:10.3934/math.2022847

AIMS Mathematics

2022, Volume 7, Issue 8: 15471-15483. doi: 10.3934/math.2022847

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Research article

Weakly Gorenstein comodules over triangular matrix coalgebras

1.
School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, China
2.
Zhangjiakou Zhangbei Dezhi Middle school, Zhangjiakou, Hebei 076450, China
3.
School of Mathematics and Statistics, Heze University, Heze, Shandong 274015, China

Received: 10 March 2022 Revised: 14 June 2022 Accepted: 15 June 2022 Published: 20 June 2022
MSC : 18G10, 18G25

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.
- triangular matrix coalgebra,
- weakly Gorenstein comodule,
- weakly compatible bicomodule
Citation: Dingguo Wang, Chenyang Liu, Xuerong Fu. Weakly Gorenstein comodules over triangular matrix coalgebras[J]. AIMS Mathematics, 2022, 7(8): 15471-15483. doi: 10.3934/math.2022847

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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.

References

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