Vol. 40, No. 1, 1972

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Projective lattices and bounded homomorphisms

Alan Loeb Kostinsky

Vol. 40 (1972), No. 1, 111–119
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
Authors
Alan Loeb Kostinsky