This book started with Lattice Theory, First Concepts, in 1971. Then came General Lattice
Theory, First Edition, in 1978, and the Second Edition twenty years later. Since the …

A quasivariety of algebras of finite type is $ Q $-universal if its lattice of subquasivarieties
has, as a homomorphic image of a sublattice, the lattice of subquasivarieties of any …

A quasivariety is a universal Horn class of algebraic structures containing the trivial
structure. The set of all subquasivarieties of a quasivariety forms a complete lattice under …

Lattices of subclasses. II Page 1 International Journal of Algebra and Computation Vol. 24, No.
8 (2014) 1099–1126 c© World Scientific Publishing Company DOI: 10.1142/S0218196714500489 …

The categorical dualities presented are:(first) for the category of bi-algebraic lattices that
belong to the variety generated by the smallest non-modular lattice with complete (0, 1) …

We show that for every quasivariety 𝒦 of structures (where both functions and relations are
allowed) there is a semilattice S with operators such that the lattice of quasi-equational …

We describe which subdirectly irreducible flat algebras arise in the variety generated by an
arbitrary class of flat algebras with absorbing bottom element. This is used to give an …

The main result of Romanowska A., Roszkowska B.,{\it On some groupoid modes\/},
Demonstratio Math.{\bf 20}(1987), no. 1--2, 277--290, provides us with an explicit description …

We give a description of quasicritical pointed Abelian groups. It is proved that the
quasivariety lattice of pointed Abelian groups is Q-universal. We construct a quasivariety …

The least element 0 of a finite meet semi-distributive lattice is a meet of meet-prime
elements. We investigate conditions under which the least element of an algebraic, meet …