Relations for Grothendieck groups of n-cluster tilting subcategories
نویسندگان
چکیده
Let Λ be an artin algebra and M n-cluster tilting subcategory of mod Λ. We show that has additive generator if only the n-almost split sequences form a basis for relations Grothendieck group every effaceable functor M→Ab finite length. As consequence we type then
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2022
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2021.10.043