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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…
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Keywords:
exact categories;
exangulated categories;
frobenius exangulated;
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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…
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Keywords:
categories infinite;
infinite tilting;
exact categories;