Add to ORKGAbstract. We prove that some properties of the definition of complete resid-uated lattice [2,4] can be derived from the other properties. Furthermore we prove that the concept of strictly two-sided commutative quantale [1,3] and the concept of complete residuated lattice are equivalent notions. 1
As well-known, in a finitary algebraic structure the set $\Gamma$ of all the non-generators is the i...
Abstract. A constructively valid counterpart to Bourbaki’s Fixpoint Lemma for chain-complete partial...
In this paper, by using the notion of upsets in residuated lattices and defining the operator Da(X),...
Residuated lattices form the basis of certain kinds of logical interpretations. Also, complete commu...
In this paper, a theorem on the existence of complete embedding of partially ordered monoids into co...
A residuated lattice is an ordered algebraic structure L = 〈L,∧,∨, · , e, \ , / 〉 such that 〈L,∧,...
Residuation is a fundamental concept of ordered structures and categories. In this survey we conside...
Abstract. Quantales can be viewed as a framework for a non—commutative topology. Basic properties of...
Abstract. Residuation is a fundamental concept of ordered structures and categories. In this survey ...
We show that the variety of residuated lattices is generated by its finite simple members, improving...
Since the reduct of every residuated lattice is a semiring, we can ask under what condition a semiri...
A residuated lattice is said to be integrally closed if it satisfies the quasiequation
Important properties of primary elements in a complete residuated ADL L and the uniqueness theorem i...
Abstract. In this paper, a theorem on the existence of complete embedding of partially ordered monoi...
The theory of residuated lattices, first proposed by Ward and Dil-worth [4], is formalised in Isabel...
As well-known, in a finitary algebraic structure the set $\Gamma$ of all the non-generators is the i...
Abstract. A constructively valid counterpart to Bourbaki’s Fixpoint Lemma for chain-complete partial...
In this paper, by using the notion of upsets in residuated lattices and defining the operator Da(X),...
Residuated lattices form the basis of certain kinds of logical interpretations. Also, complete commu...
In this paper, a theorem on the existence of complete embedding of partially ordered monoids into co...
A residuated lattice is an ordered algebraic structure L = 〈L,∧,∨, · , e, \ , / 〉 such that 〈L,∧,...
Residuation is a fundamental concept of ordered structures and categories. In this survey we conside...
Abstract. Quantales can be viewed as a framework for a non—commutative topology. Basic properties of...
Abstract. Residuation is a fundamental concept of ordered structures and categories. In this survey ...
We show that the variety of residuated lattices is generated by its finite simple members, improving...
Since the reduct of every residuated lattice is a semiring, we can ask under what condition a semiri...
A residuated lattice is said to be integrally closed if it satisfies the quasiequation
Important properties of primary elements in a complete residuated ADL L and the uniqueness theorem i...
Abstract. In this paper, a theorem on the existence of complete embedding of partially ordered monoi...
The theory of residuated lattices, first proposed by Ward and Dil-worth [4], is formalised in Isabel...
As well-known, in a finitary algebraic structure the set $\Gamma$ of all the non-generators is the i...
Abstract. A constructively valid counterpart to Bourbaki’s Fixpoint Lemma for chain-complete partial...
In this paper, by using the notion of upsets in residuated lattices and defining the operator Da(X),...