Doctoral Dissertations
Date of Award
6-1957
Degree Type
Dissertation
Degree Name
Doctor of Philosophy
Major
Mathematics
Major Professor
Wallace Givens
Committee Members
O. M. Harrold, W. E. Deeds, F. A. Fiskers
Abstract
Introduction: Von Newmann [8]1 has discovered a class of geometries in which the undefined elements are subspaces and the undefined operations are meets and joins of subspaces. His axioms require that the system consisting of the set ℒ of subspaces together with the two operations form an irreducible, complete, complemented, modular lattice satisfying an additional dual pair of continuity of conditions.
Recommended Citation
Alexander, James Howard, "Approximately Finite Geometries and Their Coordinate Rings. " PhD diss., University of Tennessee, 1957.
https://trace.tennessee.edu/utk_graddiss/3220
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