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Constructible lattices

Published online by Cambridge University Press:  09 April 2009

M. F. Janowitz
M. F. Janowitz
Affiliation:
University of Massachusetts Amherst, Massachusetts, U.S.A.
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This paper is a continuation of [2] and will use the terminology and notation introduced therein. Basically, we seek to investigate the structure of indexed lattices in which the set of lengths of the minimal indexing chains is bounded.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 14 , Issue 3 , November 1972 , pp. 311 - 316
Copyright
Copyright © Australian Mathematical Society 1972

References

[1]Birkhoff, G., Lattice theory (Amer. Math. Colloq. Publ. XXV, 3rd Edition, Providence, R.I., 1967).Google Scholar
[2]Janowitz, M. F., ‘The near center of an orthomodular lattice’, J. Austral. Math. Soc. 14 (1972), 20–29.CrossRefGoogle Scholar
[3]Janowitz, M. F., ‘A note on normal ideals’, J. Sci. Hiroshima Univ. Ser. A-I 30 (1966), 1–9.Google Scholar
[4]MacLaren, M. D., ‘Atomic orthocomplemented lattices’, Pacific J. Math. 14 (1964), 597–612.CrossRefGoogle Scholar