The Grothendieck group of an n-angulated category

Petter Andreas Bergh; Marius Thaule

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arXiv · 1205.5697

The Grothendieck group of an n-angulated category

Petter Andreas Bergh·Marius Thaule

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Abstract

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 subgroups classify the dense and complete n-angulated subcategories via a bijective correspondence. For a tensor n-angulated category, the Grothendieck group becomes a ring, whose ideals classify the dense and complete n-angulated tensor ideals of the category.

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Petter Andreas Bergh, Marius Thaule. 2012-05-25. The Grothendieck group of an n-angulated category. https://arxiv.org/abs/1205.5697

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