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 2022Show all

4 papers · 1 filter

math.CT2022

Cut notions in extriangulated categories related to Auslander-Buchweitz theory and cotorsion theory

Mindy Huerta, Octavio Mendoza, Corina Sáenz +1

In this work we introduce notions in Auslander-Buchweitz theory and cotorsion theory in extriangulated categories which extend the given ones for abelian categories. Although these…

math.RA2022

$m$ -periodic Gorenstein objects

Mindy Huerta, Octavio Mendoza, Marco A. Pérez

We present and study the concept of $m$ -periodic Gorenstein objects relative to a pair $(A, B)$ of classes of objects in an abelian category, as a generalization of $m$ -st…

math.RT2022

$n$ -term silting complexes in $K^{b} (p r o j (Λ))$

Luis Martinez, Octavio Mendoza

Let $Λ$ be an Artin algebra and $K^{b} (p r o j (Λ))$ be the triangulated category of bounded co-chain complexes in $p r o j (Λ) .$ It is well known that two-terms silting complexes in $K^b(pr…

math.CT2022

Balanced systems for $Hom$

Víctor Becerril, Octavio Mendoza, Marco A. Pérez

From the notion of (co)generator in relative homological algebra, we present the concept of finite balanced system $[(X, ω); (ν, Y)]$ as a tool to induce balan…

Cut notions in extriangulated categories related to Auslander-Buchweitz theory and cotorsion theory

m-periodic Gorenstein objects

n-term silting complexes in Kb(proj(Λ))

Balanced systems for Hom

$m$ -periodic Gorenstein objects

$n$ -term silting complexes in $K^{b} (p r o j (Λ))$

Balanced systems for $Hom$