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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.RA2018
Nonassociative right hoops
Peter Jipsen, Michael Kinyon
The class of nonassociative right hoops, or narhoops for short, is defined as a subclass of right-residuated magmas, and is shown to be a variety. These algebras generalize both ri…