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math.RA2023
Strolling through common meadows
João Dias, Bruno Dinis
Meadows are a sort of commutative rings with a multiplicative identity element and a total multiplicative inverse operation. In this paper we study algebraic properties of common m…
math.GR2023
Assemblies as Semigroups
Ulderico Dardano, Bruno Dinis, Giuseppina Terzo
In this paper we give an algebraic characterization of assemblies in terms of bands of groups. We also consider substructures and homomorphisms of assemblies. We give many examples…
math.LO2023
Flexible involutive meadows
Bruno Dinis, Emanuele Bottazzi
We investigate a notion of inverse for neutrices inspired by Van den Berg and Koudjeti's decomposition of a neutrix as the product of a real number and an idempotent neutrix. We en…