In this note we prove that divisible residuated semilattices have some specific algebraic properties. We show that: (1) for normal and divisible residuated semilattices representability is equivalent to the existence of a join term, (2) any integral divisible residuated semilattice is distributive, and (3) a finite divisible residuated semilattice is integral and commutative
Abstract. We look at lower semilattice-ordered residuated semigroups and, in particular, the represe...
semirings and residuated lattices, and provide both functional and relational versions. Our analysis...
In this paper, the notions of distributive, standard and neutral elements in residuated lattices wer...
In this note we prove that divisible residuated semilattices have some specific algebraic properties...
In this note we study the relationships between three properties of residuated (meet) semilattices, ...
summary:We generalize the concept of an integral residuated lattice to join-semilattices with an upp...
We generalize the Dubuc–Poveda representation theorem for MV-algebras so that it applies to other al...
ABSTRACT. In this paper the concept of a,-semilattice is introduced as a generalization to distribut...
Abstract. We show that the equational theory of representable lower semilattice-ordered residuated s...
In this paper the concept of a ∗-semilattice is introduced as a generalization to distributive ∗-lat...
In this paper we have proved a classical characterization of modular join-semilattices. We have also...
Since the reduct of every residuated lattice is a semiring, we can ask under what condition a semiri...
The amalgamation property (AP) is of particular interest in the study of residuated lattices due to ...
A residuated lattice is an algebra of the form A = (A,∧,∨, ·, \, /, 1) where (A,∧,∨) is a lattice, (...
summary:In this paper we shall give a survey of the most important characterizations of the notion o...
Abstract. We look at lower semilattice-ordered residuated semigroups and, in particular, the represe...
semirings and residuated lattices, and provide both functional and relational versions. Our analysis...
In this paper, the notions of distributive, standard and neutral elements in residuated lattices wer...
In this note we prove that divisible residuated semilattices have some specific algebraic properties...
In this note we study the relationships between three properties of residuated (meet) semilattices, ...
summary:We generalize the concept of an integral residuated lattice to join-semilattices with an upp...
We generalize the Dubuc–Poveda representation theorem for MV-algebras so that it applies to other al...
ABSTRACT. In this paper the concept of a,-semilattice is introduced as a generalization to distribut...
Abstract. We show that the equational theory of representable lower semilattice-ordered residuated s...
In this paper the concept of a ∗-semilattice is introduced as a generalization to distributive ∗-lat...
In this paper we have proved a classical characterization of modular join-semilattices. We have also...
Since the reduct of every residuated lattice is a semiring, we can ask under what condition a semiri...
The amalgamation property (AP) is of particular interest in the study of residuated lattices due to ...
A residuated lattice is an algebra of the form A = (A,∧,∨, ·, \, /, 1) where (A,∧,∨) is a lattice, (...
summary:In this paper we shall give a survey of the most important characterizations of the notion o...
Abstract. We look at lower semilattice-ordered residuated semigroups and, in particular, the represe...
semirings and residuated lattices, and provide both functional and relational versions. Our analysis...
In this paper, the notions of distributive, standard and neutral elements in residuated lattices wer...
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