We investigate the class of those algebras (L; A(0), *) in which (L; A(0)) is a de Morgan algebra, (L; *) is a quasi-Stone algebra, and the operations and are linked by the identity x**A(0) = x*A(0)*. We show that such an algebra is subdirectly irreducible if and only if its congruence lattice is either a 2-element chain or a 3-element chain. In particular, there are precisely eight non-isomorphic subdirectly irreducible Stone de Morgan algebras.</p
Characterizations of admissible quasi-identities, which may be understood as quasi-identities holdin...
In this paper we study subdirectly irreducible double Km,n-algebras. In particular, we prove that ev...
In this paper we study subdirectly irreducible double Km,n-algebras. In particular, we prove that ev...
We investigate the class of those algebras (L; A(0), *) in which (L; A(0)) is a de Morgan algebra, (...
AbstractAn abstract algebra 〈A,∧,∨,⊥,⊤,¬,∼〉 is called a De Morgan Boolean algebra if 〈A,∧,∨,⊥,⊤,¬〉 i...
p. 341–349In this paper a characterization of principal congruences of De Morgan algebras is given a...
AbstractWe characterise, via the poset of their join-irreducible elements, the distributive lattices...
In this paper we shall introduce the varietyWQS of weak-quasi-Stone algebras as a generalization of ...
In this paper we study a subdirect irreducibility of algebras with one operator andthe main near-una...
Here we initiate an investigation into the class eO of extended Ockham algebras, namely bounded dist...
Here we initiate an investigation into the class eO of extended Ockham algebras, namely bounded dist...
ABSTRACT. A piggyback duality and a translation process between this one and a Priestley duality for...
Here we investigate the structure of the lattice of congruences of a subdirectly irreducible extende...
De Morgan monoids are algebraic structures that model certain non-classical logics. The variety DMM...
AbstractAn abstract algebra 〈A,∧,∨,⊥,⊤,¬,∼〉 is called a De Morgan Boolean algebra if 〈A,∧,∨,⊥,⊤,¬〉 i...
Characterizations of admissible quasi-identities, which may be understood as quasi-identities holdin...
In this paper we study subdirectly irreducible double Km,n-algebras. In particular, we prove that ev...
In this paper we study subdirectly irreducible double Km,n-algebras. In particular, we prove that ev...
We investigate the class of those algebras (L; A(0), *) in which (L; A(0)) is a de Morgan algebra, (...
AbstractAn abstract algebra 〈A,∧,∨,⊥,⊤,¬,∼〉 is called a De Morgan Boolean algebra if 〈A,∧,∨,⊥,⊤,¬〉 i...
p. 341–349In this paper a characterization of principal congruences of De Morgan algebras is given a...
AbstractWe characterise, via the poset of their join-irreducible elements, the distributive lattices...
In this paper we shall introduce the varietyWQS of weak-quasi-Stone algebras as a generalization of ...
In this paper we study a subdirect irreducibility of algebras with one operator andthe main near-una...
Here we initiate an investigation into the class eO of extended Ockham algebras, namely bounded dist...
Here we initiate an investigation into the class eO of extended Ockham algebras, namely bounded dist...
ABSTRACT. A piggyback duality and a translation process between this one and a Priestley duality for...
Here we investigate the structure of the lattice of congruences of a subdirectly irreducible extende...
De Morgan monoids are algebraic structures that model certain non-classical logics. The variety DMM...
AbstractAn abstract algebra 〈A,∧,∨,⊥,⊤,¬,∼〉 is called a De Morgan Boolean algebra if 〈A,∧,∨,⊥,⊤,¬〉 i...
Characterizations of admissible quasi-identities, which may be understood as quasi-identities holdin...
In this paper we study subdirectly irreducible double Km,n-algebras. In particular, we prove that ev...
In this paper we study subdirectly irreducible double Km,n-algebras. In particular, we prove that ev...