## ABSTRACT

Julho 1999

**Bernhard Banaschewski**, McMaster University (Hamilton)

*f-Rings and the Pointfree Stone-Weierstrass Theorem*

The Stone-Weierstrass Theorem Approximation Theorem for
compact completely regular frames is obtained as a consequence of
a result about bounded commutative f-rings with unit, where an
f-ring is a lattice-ordered ring in which *(a\wedge b)c=(ac)\wedge (bc)* for all
*a, b* and all *c\geq 0*, and bounded means that, for each *a*, there exist
natural *n* such that *|a|\leq n*.