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On the prime divisors
of zero in form rings
Louis Jackson Ratliff, Jr. |
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Vol. 70 (1977), No. 2, 489–517
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Abstract |
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A number of new results concerning the prime divisors of zero in the form ring ℱ(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 ℛ(A,I). Then it is shown that in every semi-local ring R there exist open ideals Q such that the prime divisors of uℛ(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
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Milestones
Received: 12 January 1977
Published: 1 June 1977
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Authors |
| Louis Jackson Ratliff, Jr. | |
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