48 citations · 68 across the 4 of their papers we have counts for
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The morphism axiom for n-angulated categories
Emilie Arentz-Hansen, Petter Andreas Bergh, Marius Thaule
The morphism axiom for n-angulated categories states that a morphism between the bases of two n-angles can be extended to a morphism of n-angles. We show that this axiom is redunda…
Higher n-angulations from local rings
Petter Andreas Bergh, Gustavo Jasso, Marius Thaule
We show that the category of finitely generated free modules over certain local rings is n-angulated for every n at least 3. In fact, we construct several classes of n-angles, para…
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…
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…