Vol. 52, No. 2, 1974

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Projective pseudo-complemented semilattices

Geoffrey Thomas Jones

Vol. 52 (1974), No. 2, 443–456
Abstract

This paper is concerned with the properties of free, and projective pseudo complemented semilattices (PCSL).

It is proved that a projective PCSL is complemented and all its chains and disjointed subsets are countable, and that a Boolean algebra is projective in the category of PCSL if and only if it is projective in the category of Boolean algebras. Further, necessary and sufficient conditions are established for a finite PCSL to be projective.

Mathematical Subject Classification
Primary: 06A25
Milestones
Received: 20 July 1973
Published: 1 June 1974
Authors
Geoffrey Thomas Jones