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 …

George Grätzer started writing his General Lattice Theory in 1968. It was published in 1978.
It set out “to discuss in depth the basics of general lattice theory.” Almost 900 exercises, 193 …

We construct an algebraic distributive lattice D that is not isomorphic to the congruence
lattice of any lattice. This solves a long-standing open problem, traditionally attributed to RP …

Spectral spaces of countable Abelian lattice-ordered groups Page 1 TRANSACTIONS OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 371, Number 3, 1 February 2019, Pages …

While the study of planar lattices goes back to the 1970s (KA Baker, PC Fishburn, and FS
Roberts [20] and D. Kelly and I. Rival [223]), a systematic study of planar semimodular …

This work introduces tools, from the field of category theory, that make it possible to tackle
until now unsolvable representation problems (determination of the range of a given …

We prove that there is a distributive (∨, 0, 1)-semilattice G of size ℵ2 such that there is no
weakly distributive (∨, 0)-homomorphism from Conc A to G with 1 in its range, for any …

We construct a completely normal bounded distributive lattice D in which for every pair (a, b)
of elements, the set {x∈ D| a≤ b∨ x} has a countable coinitial subset, such that D does not …

We consider the problem of describing the lattices of compact ℓ-ideals of Abelian lattice-
ordered groups.(Equivalently, describing the spectral spaces of Abelian lattice-ordered …

Anti-elementarity is a strong way of ensuring that a class of structures, in a given first-order
language, is not closed under elementary equivalence with respect to any infinitary …