59 citations · 124 across the 14 of their papers we have counts for
14 papers
Balanced systems for
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 as a tool to induce balan…
Torsion and torsion-free classes from objects of finite type in Grothendieck categories
Daniel Bravo, Sinem Odabaşı, Carlos E. Parra +1
In an arbitrary Grothendieck category, we find necessary and sufficient conditions for the class of -injective objects to be a torsion class. By doing so, we propose a…
Cut cotorsion pairs
Mindy Huerta, Octavio Mendoza, Marco A. Pérez
We present the concept of cotorsion pairs cut along subcategories of an abelian category. This provides a generalization of complete cotorsion pairs, and represents a general frame…
Locally type and -coherent categories
Daniel Bravo, James Gillespie, Marco A. Pérez
We study finiteness conditions in Grothendieck categories by introducing the concepts of objects of type and studying their closure properties with respect to short e…
-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…
First Impressions: A Survey on Vision-Based Apparent Personality Trait Analysis
Julio C. S. Jacques Junior, Yağmur Güçlütürk, Marc Pérez +8
Personality analysis has been widely studied in psychology, neuropsychology, and signal processing fields, among others. From the past few years, it also became an attractive resea…
On some applications of balanced pairs and their relation with cotorsion triplets
Sergio Estrada, Marco A. Pérez, Haiyan Zhu
Balanced pairs appear naturally in the realm of Relative Homological Algebra associated to the balance of right derived functors of the functor. A natural source to…
Model structures and relative Gorenstein flat modules and chain complexes
Sergio Estrada, Alina Iacob, Marco A. Pérez
A recent result by J. Šaroch and J. Šťov\'ıček asserts that there is a unique abelian model structure on the category of left -modules, for any associative ring with identit…
Coends and the tensor product of -modules
Marco A. Pérez
We give an introduction to the concept of Kan extensions, and study its relation with the notions of coend and adjoint functors. We state and prove in detail a well known formula t…
Finiteness conditions and cotorsion pairs
Daniel Bravo, Marco A. Pérez
We study the interplay between the notions of -coherent rings and finitely -presented modules, and also study the relative homological algebra associated to them. We show tha…
Toward formalizing ologs: Linguistic structures, instantiations, and mappings
Marco A. Pérez, David I. Spivak
We define the notion of linguistic structure on a small category, in order to provide a more formal description of ontology logs, also known as ologs, introduced by R. E. Kent and…
Adjointness properties for relative extensions of disk and sphere chain complexes
Marco Pérez
We study the subgroup of formed by those -extensions of by in an Abelian category…
Gorenstein Homological Dimensions and Abelian Model Structures
Marco Pérez
We construct new complete cotorsion pairs in the categories of modules and chain complexes over a Gorenstein ring , from the notions of Gorenstein homological dimensions, in ord…
Homological dimensions and abelian model structures on chain complexes
Marco Pérez
We construct Abelian model structures on the category of chain complexes over a ring , from the notion homological dimensions of modules. Given an integer , we prove that…