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Congruence permutable extensions of distributive double p-algebras*

Published online by Cambridge University Press:  20 January 2009

R. Beazer  and
J. Sichler
R. Beazer
Affiliation:
Department of MathematicsUniversity of GlasgowGlasgow G12 8Qw, Scotland
J. Sichler
Affiliation:
Department of MathematicsUniversity of ManitobaWinnipeg, ManitobaCanadaR3T 2N2
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Abstract

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Every distributive double p-algebra L is shown to have a congruence permutable extension K such that every congruence of L has a unique extension to K.

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 36 , Issue 1 , February 1993 , pp. 165 - 168
Copyright
Copyright © Edinburgh Mathematical Society 1993

References

REFERENCES

1.Adams, M. E. and Beazer, R., Congruence properties of distributive double p-algebras, Czechoslovak Math. J. 41 (1991), 216–231.CrossRefGoogle Scholar
2.Berman, J., Congruence relations of pseudocomplemented distributive lattices, Algebra Universalis 3 (1973), 288–293.CrossRefGoogle Scholar
3.Davey, B. A., Subdirectly irreducible distributive double p-algebras, Algebra Universalis 8 (1978), 73–88.CrossRefGoogle Scholar
4.Grätzer, G., Lattice Theory: First Concepts and Distributive Lattices (Freeman, San Francisco, California, 1971).Google Scholar
5.Katriňák, T., Congruence lattices of distributive p-algebras, Algebra Universalis 1 (1977), 265–271.CrossRefGoogle Scholar
6.Priestley, H. A., Representation of distributive lattices by means of ordered Stone spaces, Bull. London Math. Soc. 2 (1970), 186–190.CrossRefGoogle Scholar
7.Priestley, H. A., Ordered topological spaces and the representation of distributive lattices, Proc. London Math. Soc. 24 (1972), 507–530.CrossRefGoogle Scholar
8.Priestley, H. A., Ordered sets and duality for distributive lattices, Ann. Discrete Math. 23 (1984), 36–90.Google Scholar
9.Varlet, J., A regular variety of type <2,2,1,1,0,0>, Algebra Universalis 2 (1972), 218–223.CrossRefGoogle Scholar