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Congruence coherent distributive double p-algebras

Published online by Cambridge University Press:  20 January 2009

M. E. Adams ,
M. Atallah  and
R. Beazer
M. E. Adams
Affiliation:
Department of Mathematics and Computer ScienceState University of New YorkNew Paltz, NY 12561, U.S.A.
M. Atallah
Affiliation:
Department of MathematicsFaculty of ScienceUniversity of TantaTanta, Egypt
R. Beazer
Affiliation:
Department of MathematicsUniversity of GlasgowUniversity GardensGlasgow G12 8QW, Scotland
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Abstract

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For distributive double p-algebras, a close connection is established between being congruence coherent and congruence regular. Every congruence regular distributive double p-algebra is congruence coherent. Even though every congruence coherent distributive double p-algebra that has either a non-empty core or finite range is congruence regular, an example is given that is congruence coherent but not congruence regular.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 39 , Issue 1 , February 1996 , pp. 71 - 80
Copyright
Copyright © Edinburgh Mathematical Society 1996

References

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