Five theorems on Macaulay rings

Melvin Hochster and Louis Jackson Ratliff, Jr.

Vol. 44 (1973), No. 1, 147–172

DOI: 10.2140/pjm.1973.44.147

Abstract

The first three theorems concern localizations of a Noetherian ring such that the localization is a Macaulay ring, and the other two theorems give some necessary and sufficient conditions for certain Rees rings and form rings of a Noetherian ring to be locally Macaulay. Numerous consequences of the theorems are proved.

Mathematical Subject Classification 2000

Primary: 13H10

Milestones

Received: 24 September 1971

Revised: 21 August 1972

Published: 1 January 1973