On Nonassociative Division Rings and Projective Planes

An interesting thing happens when one begins with the axioms of a field, but does not require the associative and commutative properties. The resulting nonassociative division ring is referred to as a ``semifield" in this paper. Semifields have intimate ties to finite projective planes. In shor...

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Bibliographic Details
Main Author: Landquist, Eric Jon
Other Authors: Mathematics
Format: Others
Published: Virginia Tech 2014
Subjects:
Online Access:http://hdl.handle.net/10919/32937
http://scholar.lib.vt.edu/theses/available/etd-05182000-12080004/