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

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12 papers · 1 filter

math.RT2023

Quotient categories with exact structure from $(n + 2)$ -rigid subcategories in extriangulated categories

Mindy Y. Huerta, Octavio Mendoza, Corina Sáenz +1

In this work we introduce the notion of higher $E$ -extension groups for an extriangulated category $C$ and study the quotients $\mathcal{X}_{n+1}^{\vee}/[\mathca…

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.RT2021

Relative Torsion Classes, relative tilting and relative silting modules

Luis Martínez, Octavio Mendoza

Let $Λ$ be an Artin algebra. In 2014, T. Adachi, O. Iyama and I. Reiten proved that the torsion funtorially finite classes in $mod (Λ)$ can be described by the $τ$ -tiltin…

math.RT2020

Generalised Igusa-Todorov functions and Lat-Igusa-Todorov algebras

Diego Bravo, Marcelo Lanzilotta, Octavio Mendoza +1

In this paper we study a generalisation of the Igusa-Todorov functions which gives rise to a vast class of algebras satisfying the finitistic dimension conjecture. This class of al…

math.RT2019

Stratifying systems through $τ$ -tilting theory

Octavio Mendoza, Hipolito Treffinger

In this paper we first show that every non-zero $τ$ -rigid $A$ -module induces at least one stratifying system in the module category of $A$ . Moreover, we show that each of these str…

math.RT2019★ 9 cited

$n$ -Cotorsion pairs

Mindy Huerta, Octavio Mendoza, Marco A. Pérez

Motivated by some properties satisfied by Gorenstein projective and Gorenstein injective modules over an Iwanaga-Gorenstein ring, we present the concept of left and right $n$ -cotor…

math.RT2018

Cokernels of the Cartan Matrix and Stratifying Systems

Eduardo Marcos, Octavio Mendoza, Corina Sáenz

We study the cokernel of the application given by the Cartan Matrix $C_{Λ}$ of a finite dimensional $k$ -algebra $Λ.$ This produces a finitely generated abelian group, the Cartan grou…

math.RT2018

Pullback diagrams, syzygy finite classes and Igusa-Todorov algebras

Diego Bravo, Marcelo Lanzilotta, Octavio Mendoza

For an abelian category $A$ , we define the category PEx( $A$ ) of pullback diagrams of short exact sequences in $A$ , as a subcategory of the functor cat…

math.RT2013

Split-by-nilpotent extensions algebras and stratifying systems

Marcelo Lanzilotta, Octavio Mendoza, Corina Sáenz

Let $Γ$ and $Λ$ be artin algebras such that $Γ$ is a split-by-nilpotent extension of $Λ$ by a two sided ideal $I$ of $Γ.$ Consider the so-called change of rings functors $G:={}_ΓΓ_…

math.RT2013★ 1 cited

The Phi-dimension: A new homological measure

Sonia Fernandes, Marcelo Lanzilotta, Octavio Mendoza

K. Igusa and G. Todorov introduced two functions $ϕ$ and $ψ,$ which are natural and important homological measures generalising the notion of the projective dimension. These Igusa-…

math.RT2007

An approach to the finitistic dimension conjecture

François Huard, Octavio Mendoza, Marcelo Lanzilotta

Let $R$ be a finite dimensional $k$ -algebra over an algebraically closed field $k$ and $mod R$ be the category of all finitely generated left $R$ -modules. For a given full…

math.RT2007

Finitistic dimension through infinite projective dimension

Francois Huard, Marcelo Lanzilotta, Octavio Mendoza

We show that an artin algebra having at most three radical layers of infinite projective dimension has finite finitistic dimension, generalizing the known result for algebras with…

Quotient categories with exact structure from (n+2)-rigid subcategories in extriangulated categories

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