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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...
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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...
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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...
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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...
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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...
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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...
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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...
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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...
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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...
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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...
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Varieties generated by modes of submodes
In a natural way, we can “lift” any operation defined on a set A to an operation on the set of all non-empty subsets of A and obtain from any algebra...
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Projective bichains
An algebra with two binary operations · and + that are commutative, associative, and idempotent is called a bisemilattice. A bisemilattice that...
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Zero Divisor Graph of a Poset with Respect to an Ideal
In this paper, we introduce the zero divisor graph G I ( P ) of a poset P (with 0) with respect to an ideal I . It is shown that G I ( P ) is connected...