9 papers
MV-frames
Jean B Nganou
Complete MV-algebras are naturally equipped with frame structures. We call them MV-frames and investigate some of their main the properties as frames. We completely characterized a…
Compact Hausdorff MV-algebras: Structure, Duality and Projectivity
Jean B. Nganou
It is proved that the category of extended multisets is dually equivalent to the category of compact Hausdorff MV-algebras with continuous homomorphis…
BL-rings
O. A. Heubo-kwegna, C. Lele, J. B. Nganou
The main goal of this article is to introduce BL-rings, i.e., commutative rings whose lattices of ideals can be equipped with a structure of BL-algebra. We obtain a description of…
Profinite completions and MacNeille completions of MV-algebras
Jean B Nganou
We determine the profinite completions of MV-algebras, and obtain a description that generalizes the well known profinite completions of Boolean algebras as the power sets of their…
Stone MV-algebras and Strongly complete MV-algebras
Jean B. Nganou
Compact Hausdorff topological MV-algebras and Stone MV-algebras are completely characterized. We obtain that compact Hausdorff topological MV-algebras are product (both topological…
On a non-commutative Generalization of Lukasiewicz rings
J. B. Nganou, C. Lele, A. Kadji
The goal of the present article is to extend the study of commutative rings whose ideals form an MV-algebra as carried out by Belluce and Di Nola to non-commutative rings. We study…
Profinite MV-algebras
Jean B. Nganou
We characterize all profinite MV-algebras, these are MV-algebras that are inverse limits of finite MV-algebras. It is shown that these are exactly direct product of finite Łukasiew…
On the Chang's group of BL-algebras
Jean B. Nganou, Celestin Lele
For an arbitrary BL-algebra L, we construct an associated lattice Abelian group that coincides with Chang's group when the BL-algebra is an MV-algebra. We prove that the Chang's gr…
On the Dec group of finite abelian Galois extensions over global fields
Jean B Nganou
If K/F is a finite abelian Galois extension of global fields whose Galois group has exponent t, we prove that there exists a short exact sequence that has as a consequence that if…