Frobenius n-exangulated categories
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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;
n-exangulated categories (I): Definitions and fundamental properties
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DOI: 10.1016/j.jalgebra.2020.11.017
Abstract: Abstract For each positive integer n we introduce the notion of n-exangulated categories as higher dimensional analogues of extriangulated categories defined by Nakaoka–Palu. We characterize which n-exangulated categories are n-exact in the sense of Jasso… read more here.
Keywords: exangulated categories; fundamental properties; definitions fundamental; categories definitions ... See more keywords