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Categorical universality of regular double p-algebras

Published online by Cambridge University Press:  18 May 2009

V. Koubek  and
J. Sichler
V. Koubek
Affiliation:
MFF KUMalostranské Nám. 25118 00 Praha 1Czechoslovakia
J. Sichler
Affiliation:
University of ManitobaWinnipeg, ManitobaCanada R3T 2N2
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An algebra A = (L; ∨, ∧, *, +, 0, 1) of type (2, 2, 1, 1, 0, 0) is a doublep-algebra if (L; ∨, ∧, 0, 1) is a (0, l)-lattice in which * and + are unary operations of pseudocomplementation and dual pseudocomplementation determined by the respective requirements that x ≤ a* be equivalent to x ∧ a = 0, and that x ≥ a+ if and only if x ∨ a = 1.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 32 , Issue 3 , September 1990 , pp. 329 - 340
Copyright
Copyright © Glasgow Mathematical Journal Trust 1990

References

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