Schur's lemma for exact categories implies abelian
نویسندگان
چکیده
We show that for a given exact category, there exists bijection between semibricks (pairwise Hom-orthogonal set of bricks) and length wide subcategories (exact extension-closed abelian subcategories). In particular, we category is if only simple objects form semibrick, is, the Schur's lemma holds.
منابع مشابه
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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.2021.05.017