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Keywords:
quasi-finite silting comodule; finitely silting comodule; finitely tilting comodule; torsion pair; duality
quasi-finite silting comodule; finitely silting comodule; finitely tilting comodule; torsion pair; duality
Summary:
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.
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