O. Mendoza

activity

20072023

most citedFrobenius pairs in abelian categories: correspondences with cotorsion pairs, exact model categories, and Auslander-Buchweitz contexts

27 citations · 55 across the 18 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.RA2016

Relative Igusa-Todorov functions and relative homological dimensions

Marcelo Lanzilotta, Octavio Mendoza

We develope the theory of the $E$ -relative Igusa-Todorov functions in an exact $I T$ -context $(C, E) .$ In the case when $C =$ mod $(Λ)$ is th…

math.CT2016★ 27 cited

Frobenius pairs in abelian categories: correspondences with cotorsion pairs, exact model categories, and Auslander-Buchweitz contexts

Víctor Becerril, Octavio Mendoza Hernandez, Marco A. Pérez +1

In this work, we revisit Auslander-Buchweitz Approximation Theory and find some relations with cotorsion pairs and model category structures. From the notions of relatives generato…

math.RA2016★ 1 cited

Coherent subcategories of finitely generated $Λ$ -modules

E. N. Marcos, O. Mendoza, C. Sáenz +1

We explore some properties of wide subcategories of the category mod $(Λ)$ of finitely generated left $Λ$ -modules, for some artin algebra $Λ.$ In particular we look at wide finite…

Relative Igusa-Todorov functions and relative homological dimensions

Frobenius pairs in abelian categories: correspondences with cotorsion pairs, exact model categories, and Auslander-Buchweitz contexts

Coherent subcategories of finitely generated Λ-modules

Coherent subcategories of finitely generated $Λ$ -modules