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math.CT2012★ 5 cited
The Grothendieck group of an n-angulated category
Petter Andreas Bergh, Marius Thaule
We define the Grothendieck group of an n-angulated category and show that for odd n its properties are as in the special case of n=3, i.e. the triangulated case. In particular, its…
math.CT2012★ 48 cited
The axioms for n-angulated categories
Petter Andreas Bergh, Marius Thaule
We discuss the axioms for an n-angulated category, recently introduced by Geiss, Keller and Oppermann. In particular, we introduce a higher octahedral axiom, and show that it is eq…