Relative Igusa-Todorov Functions and Relative Homological Dimensions |
| |
Authors: | Marcelo?Lanzilotta Email author" target="_blank">Octavio?MendozaEmail author |
| |
Institution: | 1.Instituto de Matemática y Estadística “Rafael Laguardia”, J. Herrera y Reissig 565, Facultad de Ingeniería,Universidad de la República.,Montevideo,Uruguay;2.Instituto de Matemáticas,Universidad Nacional Autónoma de México,Ciudad de México,México;3.Circuito Exterior,Ciudad Universitaria,Ciudad de México,México |
| |
Abstract: | We develope the theory of \({\mathcal {E}}\)-relative Igusa-Todorov functions in an exact I T-context \(({\mathcal {C}},{\mathcal {E}})\) (see Definition 2.1). In the case when \({\mathcal {C}}={\text {mod}}\, ({\Lambda })\) is the category of finitely generated left Λ-modules, for an artin algebra Λ, and \({\mathcal {E}}\) is the class of all exact sequences in \({\mathcal {C}},\) we recover the usual Igusa-Todorov functions, Igusa K. and Todorov G. (2005). We use the setting of the exact structures and the Auslander-Solberg relative homological theory to generalise the original Igusa-Todorov’s results. Furthermore, we introduce the \({\mathcal {E}}\)-relative Igusa-Todorov dimension and also we obtain relationships with the relative global and relative finitistic dimensions and the Gorenstein homological dimensions. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|