n-exangulated categories (I): Definitions and fundamental properties
By Martin Herschend, Yu Liu, Hiroyuki Nakaoka. 2020
82 citations recorded by the source corpus.
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.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/e51faa715f7f4da73c4d099a57395214d3cb3a37
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In Algebra and Number Theory
- Pierre-Guy Plamondon
- Vincent Pilaud
- Arnau Padrol
- Yann Palu
- B. Keller
- Lingyan Guo
- Thomas Brustle
- Dong Yang
In Geometry and Topology
- Pierre-Guy Plamondon
- Yann Palu
- Arnau Padrol
- Vincent Pilaud
- B. Keller
- Lingyan Guo
- Thomas Brustle
- Dong Yang
In Mathematical Physics
Citations in the corpus
- Associahedra for finite‐type cluster algebras and minimal relations between g‐vectors (2019, background): “We also note the generalization, called n-exangulated categories [47, 48], to a version suited for higher homological algebra.”