4 papers
-extending modular lattices
Jesus Adrian Celis-González, Hugo Alberto Rincón-Mejía
This paper investigates the theory of lattices, focusing on extending lattices relative to abstract classes, modular lattices, and torsion lattices. Definitions of type-1 and type-…
Co-first modules
Hugo Alberto Rincón-Mejía, Luis Fernando García-Mora
This paper explores the concept of \textbf{co-first modules}, a generalization of coprime modules, through the lens of preradicals in module theory. Building on foundational notion…
First elements associated with partial order actions in -Mod
Luis Fernando García-Mora, Hugo Alberto Rincón-Mejía
We explore some concepts of module theory that derive from the notion of primeness, such as first modules, and extend them to more general environments. We also provide description…
On -classes of modules with applications
Oscar A. Garrido-Jiménez, Hugo A. Rincón-Mejía
In this paper we introduce some lattices of classes of left R-module relative to a preradical sigma. These lattices are generalizations of the lattices R-TORS, R-tors, R-nat, R-con…