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Congruence relations on orthomodular lattices

Published online by Cambridge University Press:  09 April 2009

P. D. Finch
P. D. Finch
Affiliation:
Monash UniversityMelbourne
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We denote lattice join and meet by ∨ and ∧ respectively and the associated partial order by ≧. A lattice L with 0 and I is said to be orthocomplemented if it admits a dual automorphism x → x′, that is a one-one mapping of L onto itself such that which is involutive, so that for each x in L and, further, is such that for each x in L.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 6 , Issue 1 , February 1966 , pp. 46 - 54
Copyright
Copyright © Australian Mathematical Society 1966

References

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