Search
Search Results
-
Congruences on near-Heyting algebras
A near-Heyting algebra is a join-semilattice with a top element such that every principal upset is a Heyting algebra. We establish a one-to-one...
-
On homomorphisms between products of median algebras
Homomorphisms of products of median algebras are studied with particular attention to the case when the codomain is a tree. In particular, we show...
-
Loosely-abelian algebras
Abelianity has two different meanings in universal algebra. On the one hand, the term “abelian” is used interchangeably with “commutative” whilst on...
-
Piggyback dualities revisited
In natural duality theory, the piggybacking technique is a valuable tool for constructing dualities. As originally devised by Davey and Werner, and...
-
Free pseudocomplemented semilattices: a new approach
An intrinsic characterization of free pseudocomplemented semilattices is presented. The second principal result gives a method for constructing free...
-
A note on congruences of semilattices with sectionally finite height
We present a bijective correspondence between congruences of semilattices with sectionally finite height (i.e., meet-semilattices whose principal...
-
The Cocycle Equation on Commutative Semigroups
Although the general solution of the cocycle functional equation on abelian groups is well-known, the theory concerning solutions of that equation on...
-
Quasi-orthomodular Posets and Weak BCK-algebras
A quasi-orthomodular poset is defined to be a poset with 0 equipped with an orthogonality relation satisfying certain axioms. The goal of the paper...
-
Stone style duality for distributive nearlattices
The aim of this paper is to study the variety of distributive nearlattices with greatest element. We will define the class of N -spaces as sober-like...
-
The class of algebraically closed p-semilattices is finitely axiomatizable
We prove our title, and thereby establish the base for a positive solution of Albert and Burris’ problem on the finite axiomatizability of the model...
-
Canonical Extensions and Profinite Completions of Semilattices and Lattices
Canonical extensions of (bounded) lattices have been extensively studied, and the basic existence and uniqueness theorems for these have been...
-
A representation of weak effect algebras
Weak effect algebras were introduced by the author as a generalization of effect algebras and pseudoeffect algebras. It was shown that having a basic...