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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.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…