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Projective distributive p-algebras

Published online by Cambridge University Press:  17 April 2009

Alasdair Urquhart
Alasdair Urquhart
Affiliation:
Department of Philosophy, University of Toronto, Toronto M5S 1A1, Canada.
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Abstract

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A characterization of finite (weak) projectives in an equational class of distributive pseudocomplemented lattices is given. In the class of all such lattices, a finite lattice is projective if and only if its poset of join–irreducible elements forms a semilattice in which the minimal elements below the join of x and y are exactly the mininal elements below x or y. A similar condition works for any equational subclass.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 24 , Issue 2 , October 1981 , pp. 269 - 275
Copyright
Copyright © Australian Mathematical Society 1981

References

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