WebMar 15, 2024 · In n-Exangulated Categories (I), we introduced the notion of n-exangulated categories for each positive integer n.It is not only a higher dimensional analogue of … WebJun 1, 2024 · Extriangulated categories were introduced by Nakaoka and Palu as a simultaneous generalization of exact categories and triangulated categories. A notion of proper class in an extriangulated category is defined in this paper. Let C be an extriangulated category and ξ a proper class in C. We prove that C admits a new …
[1605.05607] Mutation via Hovey twin cotorsion pairs and model ...
WebJan 6, 2024 · Exact categories and extension closed subcategories of an extriangulated category are extriangulated categories, while there exist some other examples of extriangulated categories which are neither exact nor triangulated (see [ 10, 12, 19 ]). WebDec 1, 2024 · In this article, let us discuss about localizations of extriangulated categories. As for the localizations which involve abelian/exact/triangulated categories, the following are known in the literature. (i) Serre quotient of an abelian category [5]. (ii) Verdier quotient of a triangulated category [17]. (iii) greenlab solutions uab
Gorenstein Homological Dimensions for Extriangulated Categories …
WebFeb 1, 2024 · One-sided Frobenius pairs in extriangulated categories Lingling Tan, Yu Gao, Qinghua Chen Mathematics Communications in Algebra 2024 Abstract Let be an extriangulated category with a proper class ξ of -triangles. We introduce the notions of left Frobenius pairs, left (n-)cotorsion pairs and left (weak) Auslander-Buchweitz contexts… WebNov 15, 2024 · Recently, Nakaoka and Palu introduced a notion of extriangulated categories. This is a unification of exact categories and triangulated categories. In this … WebJun 1, 2024 · Extriangulated categories were introduced by Nakaoka and Palu as a simultaneous generalization of exact categories and triangulated categories. A notion … greenlab solutions