This paper is devoted to the semilattice ordered V-algebras of the form (A, Ω,+), where+ is a
join-semilattice operation and (A, Ω) is an algebra from some given variety V. We …

We describe all subdirectly irreducible medial quandles. We show that they fall within one of
four disjoint classes. In particular, in the finite case they are either connected (and therefore …

We show that a locally finite variety which omits abelian types is self-rectangulating if and
only if it has a compatible semilattice term operation. Such varieties must have type-set {5} …

This paper presents a new approach to the study of (real) barycentric algebras, in particular
convex subsets of real affine spaces. Barycentric algebras are cast in the setting of two …

Modes are idempotent and entropic algebras. Although it had been established many years
ago that groupoid modes embed as subreducts of semimodules over commutative …

The paper gives a self-contained introduction to modes (idempotent entropic algebras) and
modals (modes distributive over semilattices). Constructions of modals from modes are …

A. Pilitowska, A. Zamojska-Dzienio REPRESENTATION OF MODALS 1. Introduction
Algebras considered in this paper are modes and moda Page 1 DEMONSTRATIO …

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 (A, Ω) its power algebra of subsets. In …

Closure operators on algebras Page 1 International Journal of Algebra and Computation Vol.
25, No. 6 (2015) 1055–1074 c World Scientific Publishing Company DOI: 10.1142/S0218196715500307 …

We investigate semilattices expanded by a group F of automorphisms acting as new unary
basic operations. We describe up to isomorphism all simple algebras of this kind in case that …