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- W3203910040 abstract "We investigate how to characterize subcategories of abelian categories in terms of intrinsic axioms. In particular, we find axioms which characterize generating cogenerating functorially finite subcategories, precluster tilting subcategories, and cluster tilting subcategories of abelian categories. As a consequence we prove that any d-abelian category is equivalent to a d-cluster tilting subcategory of an abelian category, without any assumption on the categories being projectively generated." @default.
- W3203910040 created "2021-10-11" @default.
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- W3203910040 date "2022-04-01" @default.
- W3203910040 modified "2023-09-25" @default.
- W3203910040 title "Axiomatizing subcategories of Abelian categories" @default.
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- W3203910040 doi "https://doi.org/10.1016/j.jpaa.2021.106862" @default.
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