4 papers
-Baer and -Rickart lattices
Mauricio Medina-Bárcenas, Hugo Rincón Mejía
In this paper we introduce the notions of Rickart and Baer lattices and their duals. We show that part of the theory of Rickart and Baer modules can be understood just using techni…
Boolean perspectives of idioms and the Boyle derivative
Jaime Castro Pérez, Mauricio Medina Bárcenas, José Ríos Montes +1
We are concerned with the boolean or more general with the complemented properties of idioms (complete upper-continuous modular lattices). In [Simmons&Cantor] the author introduces…
On the structure of Goldie Modules
Jaime Castro Pérez, Mauricio Medina Bárcenas, Angel Zaldívar +1
Given a semiprime Goldie module projective in we study decompositions on its -injective hull in terms of the minimal prime in submodules. With this, we…
On Semiprime Goldie Modules
Jaime Castro Pérez, Mauricio Medina Bárcenas, José Ríos Montes +1
For an -module , projective in and satisfying ascending chain condition (ACC) on left annihilators, we introduce the concept of Goldie module. We also use the concept…