Piecewise catenarian and going between rings

M. Brodmann

Vol. 86 (1980), No. 2, 415–419

DOI: 10.2140/pjm.1980.86.415

Abstract

The main purpose of this paper is to prove the following theorem. Let R be a noetherian ring and n a nonnegative integer. Then R[X₁,⋯,X_n] is a going-between ring (=GB) iff R is GB and is (n + 1)-piecewise catenarian.

Mathematical Subject Classification 2000

Primary: 13B20, 13B20

Secondary: 13C15

Milestones

Received: 3 October 1978

Published: 1 February 1980