This book is another publication in the recent surveys of ordered sets and lattices. The papers, which might be characterized as "reviews of reviews," are based on articles reviewed in the Referativnyibreve Zhurnal: Matematika from 1978 to 1982. For the sake of completeness, the…
Lattice theorynvolume 1
Ivo Rosenberg determined all finite, finitary, functionally precomplete algebras; he split them up naturally into six classes according to the kind of relation which is preserved by the polynomials of each such algebra. The purpose of this memoir is to locate these algebras in t…
A version of Harrington's [capital Greek]Delta₃-automorphism technique for the lattice of recursively enumerable sets is introduced and developed by reproving Soare's Extension Theorem. Then this automorphism technique is used to show two technical theorems: the High Extension T…
Nonmodular lattice varieties
by Rose, Henny
fromMemoirs of the American Mathematical Society
Nonmodular lattice varieties
by Rose, Henry
fromMemoirs of the American Mathematical Society
It is shown that there are eight infinite sequences of join irreducible lattice varieties with the following properties: each term of every sequence has the next term as its unique join irreducible cover. The description of these sequences is based on a detailed study of subdire…
