Vol. 52, No. 2, 1974

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Projective pseudo-complemented semilattices

Geoffrey Thomas Jones

Vol. 52 (1974), No. 2, 443–456

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
Received: 20 July 1973
Published: 1 June 1974
Geoffrey Thomas Jones