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A
theorem on prime divisors of zero and characterizations of
unmixed local domains
Louis Jackson Ratliff, Jr. |
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Vol. 65 (1976), No. 2, 449–470
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Abstract |
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Two characterizations of when the prime divisors of zero in a complete local ring are all minimal are given. Then a number of results which characterize an unmixed local domain R of altitude two are proved. Among these are when certain over-rings of R are finite R-modules and when R is a subspace of certain Macaulay over-rings. Finally, some characterizations of when an arbitrary local domain is unmixed are given. |
Mathematical Subject Classification 2000
Primary: 13H99
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Milestones
Received: 26 November 1975
Published: 1 August 1976
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Authors |
| Louis Jackson Ratliff, Jr. | |
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