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Universal varieties of distributive double p-algebras

Published online by Cambridge University Press:  18 May 2009

V. Koubek  and
J. Sichler
V. Koubek
Affiliation:
Mff ku, Malostranské Nám. 25, Praha 1, Czechoslovakia
J. Sichler
Affiliation:
Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada
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An algebra (L; ν, ^, *, +, 0, 1) of type (2, 2, 1, 1, 0, 0) is a distributive double p-algebra provided (L; ν, ^, 0, 1) is a distributive (0, l)-lattice, and *, + are unary operations of pseudocomplementation, or dual pseudocomplementation, respectively: the operation * satisfies x<a* if and only if x^a = 0, while x>a+ holds if and only if xνa = 1.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 26 , Issue 2 , July 1985 , pp. 121 - 131
Copyright
Copyright © Glasgow Mathematical Journal Trust 1985

References

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