5 citations · 8 across the 5 of their papers we have counts for
5 papers
On extending C^k functions from an open set to R, with applications
W. D. Burgess, R. Raphael
For and open in , let $\C^{\,k}(U)$ be the ring of real valued functions on with the first derivatives continuous. It is shown for $f\in \…
The reduced ring order and lower semi-lattices II
W. D. Burgess, R. Raphael
This paper continues the study of the reduced ring order (rr-order) in reduced rings where if . A reduced ring is called rr-good if it is a lower semi-lattice in th…
Tychonoff spaces and a ring theoretic order on
W. D. Burgess, R. Raphael
The reduced ring order (rr-order) is a natural partial order on a reduced ring given by if . It can be studied algebraically or topologically in ri…
The reduced ring order and lower semi-lattices
W. D. Burgess, R. Raphael
Every reduced ring has a natural partial order defined by if ; it generalizes the natural order on a boolean ring. The article examines when is a lower sem…
of separative exchange rings and C*-algebras with real rank zero
P. Ara, K. R. Goodearl, K. C. O'Meara +1
For any (unital) exchange ring whose finitely generated projective modules satisfy the separative cancellation property ( implies $A\co…