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Projective distributive p-algebras
Published online by Cambridge University Press: 17 April 2009
Abstract
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
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