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On congruences of double p-algebras with nonvoid core

Published online by Cambridge University Press:  18 May 2009

V. Koubek
Affiliation:
Malostranské NáM. 25118 00 Praha 1Czech Republic
J. Sichler
Affiliation:
Department Of MathematicsUniversity of Manitoba Winnipeg, ManitobaCanadaR3T 2N2
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An algebra L = L = (A; V, Λ, *, +, 0, 1) of type (2, 2, 1, 1, 0, 0) is called a distributive double p-algebra whenever its reduct (A, V, Λ, 0, 1) is a distributive (0, 1)-lattice that, for any aA, contains a greatest element a* such that a Λ a* = 0 and a least element a+ for which a v a+ = 1.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1993

References

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