Articles with "exact categories" as a keyword



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Frobenius n-exangulated categories

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Published in 2020 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2020.03.036

Abstract: Herschend-Liu-Nakaoka introduced the notion of $n$-exangulated categories as higher dimensional analogues of extriangulated categories defined by Nakaoka-Palu. The class of $n$-exangulated categories contains $n$-exact categories and $(n+2)$-angulated categories as examples. In this article, we introduce… read more here.

Keywords: exact categories; exangulated categories; frobenius exangulated;
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Exact categories and infinite tilting

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Published in 2021 at "Communications in Algebra"

DOI: 10.1080/00927872.2021.1887207

Abstract: Abstract It is proved that any tilting adjunction is completely described by an exact category with a coherence property and the closure condition that exact sequences are acyclic. The coherence property signifies that two associated… read more here.

Keywords: categories infinite; infinite tilting; exact categories;