On generating distributive sublattices of orthomodular lattices-Reference-Cited by-同舟云学术

On generating distributive sublattices of orthomodular lattices

Published:1977 Issue:1 Volume:67 Page:17-22
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Greechie Richard J.

Abstract

A Foulis-Holland set is a nonempty subset S of an orthomodular lattice such that whenever x, y, z are distinct elements of S one of them commutes with the other two. If S is a Foulis-Holland set, then the sublattice generated by S is distributive.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1977-067-01/S0002-9939-1977-0450157-9/S0002-9939-1977-0450157-9.pdf

Reference7 articles.

1. International Series of Monographs in Pure and Applied Mathematics, Vol. 102;Blyth, T. S.,1972

2. A note on distributive sublattices of an orthomodular lattice;Crown, G. D.;J. Nat. Sci. and Math.,1976

3. A note on orthomodular lattices;Foulis, David J.;Portugal. Math.,1962

4. A Radon-Nikodym theorem in dimension lattices;Holland, Samuel S., Jr.;Trans. Amer. Math. Soc.,1963

5. Distributivity and perspectivity in orthomodular lattices;Holland, Samuel S., Jr.;Trans. Amer. Math. Soc.,1964

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