Igusa-Todorov functions for Artin algebras

被引：12
|
作者：
Lanzilotta, Marcelo [1 ]
Mata, Gustavo [1 ]
机构：
[1] Univ Republica, Fac Ingn, Av Julio Herrera y Reissig 565, Montevideo, Uruguay
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2018年 / 222卷 / 01期
关键词：
D O I：
10.1016/j.jpaa.2017.03.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the behavior of the Igusa-Todorov functions for Artin algebras A with finite injective dimension, and Gorenstein algebras as a particular case. We show that the phi-dimension and psi-dimension are finite in both cases. Also we prove that monomial, gentle and cluster tilted algebras have finite phi-dimension and finite psi-dimension. (C) (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：202 / 212
页数：11
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