Abstract/Details

Order unit intervals in unigroups


2001 2001

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Abstract (summary)

In this thesis, we investigate some properties of unigroups. In particular, we investigate certain properties of the unit interval in such groups and how they can be translated to other intervals in the group and to the group itself. The result is to illuminate further the connection between effect algebras and partially ordered abelian groups that was first demonstrated by Professors M. K. Bennett and D. Foulis.

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences; Boolean algebras; Heyting algebra; Order unit intervals; Quantum logic; Unigroups
Title
Order unit intervals in unigroups
Author
Ritter, Nathan Rodney
Number of pages
71
Publication year
2001
Degree date
2001
School code
0118
Source
DAI-B 62/04, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
9780493224893, 0493224890
Advisor
Cook, Thurlow; Foulis, David
University/institution
University of Massachusetts Amherst
University location
United States -- Massachusetts
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
3012176
ProQuest document ID
304701965
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/304701965
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