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The near center of an orthomodular lattice

Published online by Cambridge University Press:  09 April 2009

M. F. Janowitz
M. F. Janowitz
Affiliation:
University of MassachusettsAmherst, Massachusetts, U.S.A.
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The results described herein were obtained in connection with the development of some lattice theoretic machinery needed by Randall and Foulis in their treatment of the so-called “logic of empirical science” (See [3] for an introduction to this subject). The final product, however, turned out to be of sufficient interest to warrant its independent presentation.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 14 , Issue 1 , July 1972 , pp. 20 - 29
Copyright
Copyright © Australian Mathematical Society 1972

References

[1]Birkhoff, G., Lattice theory (Amer. Math. Soc. Colloq. Publ. XXV, 3rd Edition, Providence, R. I., 1967).Google Scholar
[2]Foulis, D. J., ‘Relative inverses in Baer *-semigroups’, Michigan Math. J. 10 (1963), 65–84.CrossRefGoogle Scholar
[3]Randall, C. H. and Foulis, D. J., ‘An approach to empirical logic’, Amer. Math. Monthly 77 (1970), 363–374.CrossRefGoogle Scholar