Grothendieck groups and Auslander-Reiten (d + 2)-angles
نویسندگان
چکیده
Xiao and Zhu have shown that if C is a locally finite triangulated category, then the Auslander-Reiten triangles generate relations for Grothendieck group of . The notion ( d + 2 ) -angulated categories “higher dimensional” analogue categories. In this article, we show category with odd only -angles This extends result Zhu, gives converse Zhu's also true.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2021
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2020.09.048