vix.ing · top · new · best · stats · spec

The derived dimensions of (m,n)-Igusa-Todorov algebras

2021/05/14 by Junling Zheng, Zheng, Junling
Mathematics · #16E10 #16E35 #18G20 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2105.06684

openalex publication_date 2021/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an upper bound for the dimension of the bounded derived categories of (m,n)-Igusa-Todorov algebras which is a generalization of n-Igusa-Todorov algebras, where m,n are two nonnegative integers. As an applications, we get a new upper bound for the dimension of bounded derived categories in terms of the projective dimensions of certain of simple modules as well as radical layer length of artin algebra Λ.

Related