Weakly Gorenstein comodules over triangular matrix coalgebras
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.
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-06-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022847?viewType=HTML |
| _version_ | 1828339403504746496 |
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| author | Dingguo Wang Chenyang Liu Xuerong Fu |
| author_facet | Dingguo Wang Chenyang Liu Xuerong Fu |
| author_sort | Dingguo Wang |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T22:42:18Z |
| format | Article |
| id | doaj.art-db33795c6fcc4481a16aab4a7209b1f7 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-13T22:42:18Z |
| publishDate | 2022-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-db33795c6fcc4481a16aab4a7209b1f72022-12-22T02:26:35ZengAIMS PressAIMS Mathematics2473-69882022-06-0178154711548310.3934/math.2022847Weakly Gorenstein comodules over triangular matrix coalgebrasDingguo Wang0Chenyang Liu1Xuerong Fu21. School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, China1. School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, China 2. Zhangjiakou Zhangbei Dezhi Middle school, Zhangjiakou, Hebei 076450, China3. School of Mathematics and Statistics, Heze University, Heze, Shandong 274015, ChinaIn 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.https://www.aimspress.com/article/doi/10.3934/math.2022847?viewType=HTMLtriangular matrix coalgebraweakly gorenstein comoduleweakly compatible bicomodule |
| spellingShingle | Dingguo Wang Chenyang Liu Xuerong Fu Weakly Gorenstein comodules over triangular matrix coalgebras AIMS Mathematics triangular matrix coalgebra weakly gorenstein comodule weakly compatible bicomodule |
| title | Weakly Gorenstein comodules over triangular matrix coalgebras |
| title_full | Weakly Gorenstein comodules over triangular matrix coalgebras |
| title_fullStr | Weakly Gorenstein comodules over triangular matrix coalgebras |
| title_full_unstemmed | Weakly Gorenstein comodules over triangular matrix coalgebras |
| title_short | Weakly Gorenstein comodules over triangular matrix coalgebras |
| title_sort | weakly gorenstein comodules over triangular matrix coalgebras |
| topic | triangular matrix coalgebra weakly gorenstein comodule weakly compatible bicomodule |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022847?viewType=HTML |
| work_keys_str_mv | AT dingguowang weaklygorensteincomodulesovertriangularmatrixcoalgebras AT chenyangliu weaklygorensteincomodulesovertriangularmatrixcoalgebras AT xuerongfu weaklygorensteincomodulesovertriangularmatrixcoalgebras |