The correlation between interpolation theorems of logic and certain properties of the class of
models related to the amalgamation property is well known. In classical sentential and first …

Each strongly minimal Steiner k-system (M, R)(where is R is a ternary collinearity relation)
can be 'coordinatized'in the sense of (Ganter–Werner 1975) by a quasigroup if k is a prime …

We prove that in a residually small congruence modular variety the amalgamation property
implies the commutator condition ${\text {R}} $. A consequence of this is that, for all …

Quasi-Stone Algebras Page 1 Hemmwoo GAITAN Priestley Duality for Quasi-Stone Algebras
Abstract. In this paper we describe the Priestley space of a quasi-Stone algebra and use it to …

It is known that a category V-Rel of admissible relations can be formed for any variety of
algebras V, such that morphisms A→ B correspond to subalgebras of A x B. We adapt the …

In a finitely generated congruence distributive variety satisfying a weak congruence
extension property, the algebraically closed algebras are precisely updirected unions of …

This paper studies absolute retracts in congruence modular varieties of universal algebras. It
is shown that every absolute retract with finite dimensional congruence lattice is a product of …

We extend Kollár's result on finitely generated, injectively complete congruence distributive
varieties to the congruence modular setting. By doing so we show that, given any finite …

Some Aspects of Quasi-Stone Algebras Part I Page 1 Some Aspects of Quasi-Stone
Algebras Part I Sara-Kaja Fischer University of Bern September 7, 2009 Sara-Kaja Fischer …

In the theory of groups, the important concepts of Abelian group, solvable group, nilpotent
group, the center of a group and centralizers, are all defined from the binary operation [x, y] …