An Extension of Greechie's Atomistic Loop Lemma

Please use this identifier to cite or link to this item: http://hdl.handle.net/11375/5830

Full metadata record

DC Field	Value	Language
dc.contributor.advisor	Burns, G.	en_US
dc.contributor.author	Roddy, Michael	en_US
dc.date.accessioned	2014-06-18T16:33:12Z	-
dc.date.available	2014-06-18T16:33:12Z	-
dc.date.created	2009-07-29	en_US
dc.date.issued	1981-12	en_US
dc.identifier.other	opendissertations/118	en_US
dc.identifier.other	1496	en_US
dc.identifier.other	914697	en_US
dc.identifier.uri	http://hdl.handle.net/11375/5830	-
dc.description.abstract	<p>One of the major deficiencies of the theory of orthomodular lattices is the lack of accessible examples with which to test and develop conjectures. R. J. Greechie has developed two methods ([1], [2]) of obtaining new orthmodular lattices by "pasting" old ones together. This thesis gives an extension of one of these, the atomistic loop lemma. Briefly, a non-empty set of Boolean lattices with common bounds which either intersect trivially or in disjoint principal sections form an orthocomplemented poset under set-theoretic union. Necessary and sufficient conditions are given for this poset to be orthomodular.</p>	en_US
dc.subject	Mathematics	en_US
dc.subject	Mathematics	en_US
dc.title	An Extension of Greechie's Atomistic Loop Lemma	en_US
dc.type	thesis	en_US
dc.contributor.department	Mathematics	en_US
dc.description.degree	Master of Science (MS)	en_US
Appears in Collections:	Open Access Dissertations and Theses

Files in This Item:

File	Size	Format
fulltext.pdf Open Access	533.54 kB	Adobe PDF	View/Open