Vol. 19, No. 3, 1966

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 309: 1  2
Vol. 308: 1  2
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
Modular pairs in orthomodular lattices

Erik Andrew Schreiner

Vol. 19 (1966), No. 3, 519–528
Abstract

Call an orthomodular lattice L M-symmetric if M(e,f) implies M(f,e) for all e,f L and O-symmetric if M(e,f) implies M(f,e). To check for these properties it is sufficient to consider only those modular pairs in which the two elements are complements. Every O-symmetric lattice is M-symmetric. In an atomic orthomodular lattice, M-symmetry is equivalent to the atomic exchange property.

Mathematical Subject Classification
Primary: 06.40
Milestones
Received: 9 August 1965
Published: 1 December 1966
Authors
Erik Andrew Schreiner