Vol. 75, No. 2, 1978

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Polynomial rings and Hi-local rings

Louis Jackson Ratliff, Jr.

Vol. 75 (1978), No. 2, 497–510
Abstract

Three theorems concerning when certain localities L of R[X1,,Xk] are Hi-local rings (that is, for every height i prime ideal p in L, depth p = altitude L i) are proved, where R is a local ring. A number of known corollaries, as well as some new ones, easily follow.

Mathematical Subject Classification 2000
Primary: 13H05
Secondary: 13F20
Milestones
Received: 22 October 1974
Published: 1 April 1978
Authors
Louis Jackson Ratliff, Jr.