Splitting ring of a monic separable polynomial

Stuart Sui Sheng Wang

Vol. 75 (1978), No. 1, 293–296

DOI: 10.2140/pjm.1978.75.293

Abstract

In this short note we prove that if S = R[x] = R[X]∕⟨f(X)⟩ is separable over R, where f(X) is a monic polynomial over R, then the embedding set up by Auslander and Goldman is the same as the splitting ring of f over R constructed by Barnard.

Mathematical Subject Classification 2000

Primary: 13B05

Secondary: 13B25

Milestones

Received: 28 April 1976

Revised: 10 June 1977

Published: 1 March 1978