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 …

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 …

It is proved that every separable C∗-algebra of real rank zero contains an AF-sub-C∗-
algebra such that the inclusion mapping induces an isomorphism of the ideal lattices of the …

For every partially ordered sets I, having a finite cofinal subset, and every field K we build a
unital, locally matricial and hence unit-regular K-algebra B (I) such that the lattice of all its …

We find a distributive $(\vee, 0, 1) $-semilattice $ S_ {\omega _1} $ of size $\aleph _1 $ that
is not isomorphic to the maximal semilattice quotient of any Riesz monoid endowed with an …

We prove a general categorical theorem that enables us to state that under certain
conditions, the range of a functor is large. As an application, we prove various results of …

We denote by Con c A the (∨, 0)(∨, 0)-semilattice of all finitely generated congruences of
an algebra A. A lifting of a (∨, 0)(∨, 0)-semilattice S is an algebra A such that S ≅\rm Con …

Liftings of Diagrams of Semilattices by Diagrams of Dimension Groups Page 1 LIFTINGS OF
DIAGRAMS OF SEMILATTICES BY DIAGRAMS OF DIMENSION GROUPS JIRÏ IÂ TUÊ MA and …

We characterize the topological non-cancellative cones that can be expressed as projective
limits of finite powers of Œ0; 1. For metrizable cones, these are also the cones of lower …

10 Two More Topics on Congruence Lattices of Lattices Page 1 Chapter 10 Two More Topics
on Congruence Lattices of Lattices by George Grätzer Congruence lattices of lattices are …