The quantifier semigroup for bipartite graphs.
The quasi-uniserial semigroups without zero, their arithmetics and their algebras.
The restricted cancellation law in a Noether lattice
The semigroup of varieties of weakly associative lattice groups
The structure of commutative ideal semigroups.
The structure of idempotent residuated chains
In this paper we study some special residuated lattices, namely, idempotent residuated chains. After giving some properties of Green’s relation on the monoid reduct of an idempotent residuated chain, we establish a structure theorem for idempotent residuated chains. As an application, we give necessary and sufficient conditions for a band with an identity to be the monoid reduct of some idempotent residuated chain. Finally, based on the structure theorem for idempotent residuated chains, we obtain...
Totally ordered archimedean semigroups.
Towards a theory of noncommutative lattices.
Transitive decomposition of fuzzy preference relations: the case of nilpotent minimum
Transitivity is a fundamental notion in preference modelling. In this work we study this property in the framework of additive fuzzy preference structures. In particular, we depart from a large preference relation that is transitive w.r.t. the nilpotent minimum t-norm and decompose it into an indifference and strict preference relation by means of generators based on t-norms, i. e. using a Frank t-norm as indifference generator. We identify the strongest type of transitivity these indifference and...
Two remarks on dually residuated lattice ordered semigroups