Igusa-Todorov distances, extension and Rouquier dimensions under cleft extensions of abelian categories

Autor:	Ma, Yajun, Zheng, Junling
Rok vydání:	2024
Předmět:	Mathematics - Category Theory Mathematics - Rings and Algebras Mathematics - Representation Theory 18G80 18G25 16E30
Druh dokumentu:	Working Paper
Popis:	In this paper, we investigate the behavior of Igusa-Todorov distances, extension and Rouquier dimensions under cleft extensions of abelian categories. Applications are given to Morita context rings, trivial extension rings, tensor rings and arrow removals. In particular, we provide a new characterization of the upper bound for the Rouquier dimension of finite-dimensional algebras. Comment: 19 pages,version 3: some minor changes, comments are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.07804 Zobrazit plný text záznamu View this record from Arxiv