Projective lattices and bounded homomorphisms

Alan Loeb Kostinsky

Vol. 40 (1972), No. 1, 111–119

DOI: 10.2140/pjm.1972.40.111

Abstract

The main purpose of this paper is to prove that a finitely generated lattice is projective iff it is imbeddable in a free lattice. This result appears as a consequence of a more general theorem, in which a sufficient condition for projectivity is given in terms of the notion (due to Ralph McKenzie) of bounded homomorphism.

Mathematical Subject Classification

Primary: 06A20

Milestones

Received: 27 August 1970

Published: 1 January 1972