Iterated Extensions and Uniserial Length Categories
نویسندگان
چکیده
منابع مشابه
Iterated Extensions in Module Categories
Let k be an algebraically closed field, let R be an associative kalgebra, and let F = {Mα : α ∈ I} be a family of orthogonal points in Mod(R) such that EndR(Mα) ∼= k for all α ∈ I. Then Mod(F), the minimal full subcategory of Mod(R) which contains F and is closed under extensions, is a full exact Abelian sub-category of Mod(R) and a length category in the sense of Gabriel [8]. In this paper, we...
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ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2020
ISSN: 1386-923X,1572-9079
DOI: 10.1007/s10468-020-09946-0