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n-exangulated categories (I): Definitions and fundamental properties

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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… Click to show full 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 and which are ( n + 2 ) -angulated in the sense of Geiss–Keller–Oppermann.

Keywords: exangulated categories; fundamental properties; definitions fundamental; categories definitions

Journal Title: Journal of Algebra
Year Published: 2020

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