3 papers
math.AC2021
Commutative MTL-rings
Samuel Mouchili, Surdive Atamewoue, Selestin Ndjeya +1
We introduce in this work, the class of commutative rings whose lattice of ideals forms an MTL-algebra which is not necessary a BL-algebra. The so-called class of rings will be nam…
math.LO2016
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…
math.AC2015
Group-theoretic and topological invariants of completely integrally closed Prüfer domains
Olivier A. Heubo-Kwegna, Bruce Olberding, Andreas Reinhart
We consider the lattice-ordered groups Inv and Div of invertible and divisorial fractional ideals of a completely integrally closed Prüfer domain. We prove that Div…