A Minimal Regular Ring Extension of C(X)
by
Grant Woods
University of Manitoba
Coauthors: Mel Henriksen (Harvey Mudd College), Robert Raphael (Concordia University)

Let G(X) denote the smallest von Neumann regular ring of real-valued functions with domain X that contains C(X), the ring of continuous real-valued functions on a Tychonoff topological space X. We investigate when G(X) = C(bX), where bX denotes the P-space coreflection of X. The compact spaces for which G(X) = C(bX) are characterized. Necessary, and different sufficient, conditions are found for this equality to hold more generally.

Date received: June 5, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caeu-14.