2016/08/16 by Lanzilotta, Marcelo, Mendoza, Octavio
#16E05 #16E10 #16E30 #18E10 #18G25 #FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1608.04649
We develope the theory of the E-relative Igusa-Todorov functions in an exact IT-context (C,E). In the case when C=mod (Λ) is the category of finitely generated left Λ-modules, for an artin algebra Λ, and E is the class of all exact sequences in C, we recover the usual Igusa-Todorov functions. 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 E-relative Igusa-Todorov dimension and also we obtain relationships with the relative global and relative finitistic dimensions and the Gorenstein homological dimensions.