19 citations · 49 across the 19 of their papers we have counts for
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math.RA2020
Injective and projective semimodules over involutive semirings
Peter Jipsen, Sara Vannucci
We show that the term equivalence between MV-algebras and MV-semirings lifts to involutive residuated lattices and a class of semirings called \textit{involutive semirings}. The se…
math.LO2020
The structure of finite commutative idempotent involutive residuated lattices
Peter Jipsen, Olim Tuyt, Diego Valota
We characterize commutative idempotent involutive residuated lattices as disjoint unions of Boolean algebras arranged over a distributive lattice. We use this description to introd…
math.LO2020
Structure theorems for idempotent residuated lattices
José Gil-Férez, Peter Jipsen, George Metcalfe
In this paper we study structural properties of residuated lattices that are idempotent as monoids. We provide descriptions of the totally ordered members of this class and obtain…