Residue class domains of the ring of convergent sequences and of C^∞([0,1],R)

James J. Moloney

Vol. 143 (1990), No. 1, 79–153

DOI: 10.2140/pjm.1990.143.79

Abstract

We show that there are exactly 10 residue class domains of c, the ring of real convergent sequences. We also classify some of the residue class domains of C^∞([0,1],R).

Mathematical Subject Classification 2000

Primary: 12J10

Secondary: 12L12, 54C30

Milestones

Received: 28 October 1986

Revised: 10 March 1988

Published: 1 May 1990