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Pseudocomplemented algebras with Boolean congruence lattices

Published online by Cambridge University Press:  09 April 2009

R. Beazer
R. Beazer
Affiliation:
The University of Glasgow Glasgow G12 8QW and The University of ManitobaCanada R3T 2N2
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Abstract

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Complemented congruences in the classes of pseudocomplemented semilattices, p-algebras and double p-algebras are described. The descriptions are applied to give intrinsic characterizations of those algebras in the aforementioned classes whose congruence lattice is a Boolean algebra.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 26 , Issue 2 , September 1978 , pp. 163 - 168
Copyright
Copyright © Australian Mathematical Society 1978

References

Beazer, R. (1976), “The determination congruence on double p-algebras”, Algebra Universalis 6, 121–129.Google Scholar
Grätzer, G. (1976), General Lattice Theory (Birkhäuser Verlag, Basel).Google Scholar
Janowitz, M. F. (1975), “Annihilator preserving congruence relations of lattices”, Algebra Universalis 5, 391–394.CrossRefGoogle Scholar
Janowitz, M. F. (1978), “Complemented congruences on complemented lattices” (to appear).CrossRefGoogle Scholar
Katriňák, T. (1973), “The structure of distributive double p-algebras. Regularity and congruences”, Algebra Universalis 3, 238–246.Google Scholar