Vol. 70, No. 2, 1977

Recent Issues
Vol. 294: 1
Vol. 293: 1  2
Vol. 292: 1  2
Vol. 291: 1  2
Vol. 290: 1  2
Vol. 289: 1  2
Vol. 288: 1  2
Vol. 287: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
Author Index
To Appear
 
ISSN: 0030-8730
On the prime divisors of zero in form rings

Louis Jackson Ratliff, Jr.

Vol. 70 (1977), No. 2, 489–517
Abstract

A number of new results concerning the prime divisors of zero in the form ring (A,I) of a Noetherian ring A with respect to an ideal I in A are found by using certain auxiliary rings of the Rees ring (A,I). Then it is shown that in every semi-local ring R there exist open ideals Q such that the prime divisors of u(R,Q) have a number of properties known to hold when Q is a normal ideal and R is analytically unramified.

Mathematical Subject Classification 2000
Primary: 13A15
Milestones
Received: 12 January 1977
Published: 1 June 1977
Authors
Louis Jackson Ratliff, Jr.