Finitely silting comodules in quasi-finite comodule category
Czechoslovak Mathematical Journal, Tome 73 (2023) no. 3, pp. 695-714
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We introduce the notions of silting comodules and finitely silting comodules in quasi-finite category, and study some properties of them. We investigate the torsion pair and dualities which are related to finitely silting comodules, and give the equivalences among silting comodules, finitely silting comodules, tilting comodules and finitely tilting comodules.
We introduce the notions of silting comodules and finitely silting comodules in quasi-finite category, and study some properties of them. We investigate the torsion pair and dualities which are related to finitely silting comodules, and give the equivalences among silting comodules, finitely silting comodules, tilting comodules and finitely tilting comodules.
DOI : 10.21136/CMJ.2023.0173-22
Classification : 16T15, 18E40, 18G15
Keywords: quasi-finite silting comodule; finitely silting comodule; finitely tilting comodule; torsion pair; duality
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Yuan, Qianqian; Yao, Hailou. Finitely silting comodules in quasi-finite comodule category. Czechoslovak Mathematical Journal, Tome 73 (2023) no. 3, pp. 695-714. doi: 10.21136/CMJ.2023.0173-22

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