1 citations · 1 across the 5 of their papers we have counts for
12 papers
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…
Relative Torsion Classes, relative tilting and relative silting modules
Luis Martínez, Octavio Mendoza
Let be an Artin algebra. In 2014, T. Adachi, O. Iyama and I. Reiten proved that the torsion funtorially finite classes in can be described by the -tiltin…
Standardly stratified lower triangular -algebras with enough idempotents
E. Marcos, O. Mendoza, C. Sáenz +1
In this paper we study the lower triangular matrix -algebra where and are basic $\mathbb…
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…
Stratifying systems through -tilting theory
Octavio Mendoza, Hipolito Treffinger
In this paper we first show that every non-zero -rigid -module induces at least one stratifying system in the module category of . Moreover, we show that each of these str…
-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 -cotor…