4 papers · 1 filter
Formal Concepts and Residuation on Multilattices
Blaise B. Koguep Njionou, Leonard Kwuida, Celestin Lele
Multilattices are generalisations of lattices introduced by Mihail Benado. He replaced the existence of unique lower (resp. upper) bound by the existence of maximal lower (resp. mi…
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…
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…
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…