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Endomorphism monoids of distributive double p-algebras

Published online by Cambridge University Press:  18 May 2009

M. E. Adams and
J. Sichler
M. E. Adams
Affiliation:
University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2
J. Sichler
Affiliation:
University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2
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A distributive p-algebra is an algebra 〈L; ∨, ∧, *, 0, 1〉 for which 〈L, ∨, ∧, 0, 1〉 is a bounded distributive lattice and * is a unary operation on L such that a ∧ x = 0 if and only if x ≤ a* (i.e. a pseudocomplementation). A distributive double p-algebra is an algebra 〈L; ∨, ∧, *, +, 0, 1〉 in which the deletion of + gives a distributive p-algebra and the deletion of * gives a dual distributive p-algebra, that is a ∨ (x = 1 if and only if x ≥ a+.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 20 , Issue 1 , January 1979, pp. 81 - 86
Copyright
Copyright © Glasgow Mathematical Journal Trust 1979

References

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