Principal Congruences of Pseudocomplemented Distributive Lattices
- 1 January 1973
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 37 (1) , 32-36
- https://doi.org/10.2307/2038700
Abstract
Principal congruences of pseudocomplemented distributive lattices are characterized. This characterization is used to give a new proof of the congruence extension property and to show that the meet of two principal congruences is always principal in an equational class of pseudocomplemented distributive lattices if and only if the class is a subclass of the class of Stone algebras.Keywords
This publication has 4 references indexed in Scilit:
- Lattice Theory: First Concepts and Distributive Lattices.The American Mathematical Monthly, 1973
- A note on the congruence extension propertyAlgebra universalis, 1971
- The Structure of Pseudocomplemented Distributive Lattices. II: Congruence Extension and AmalgamationTransactions of the American Mathematical Society, 1971
- On the generalized boolean algebra generated by a distributive latticeIndagationes Mathematicae, 1958