1989
DOI: 10.1007/978-1-4612-3660-3_21
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Integrally Closed Projectively Equivalent Ideals

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Cited by 18 publications
(27 citation statements)
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“…Let I be a regular ideal of the Noetherian ring R. In [14], McAdam, Ratliff, and Sally prove that the set P(I ) of integrally closed ideals projectively equivalent to I is linearly ordered by inclusion and eventually periodic. (P(I ) is eventually periodic means there exist I 1 , .…”
Section: Numerical Semigroups and Projectively Full Idealsmentioning
confidence: 98%
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“…Let I be a regular ideal of the Noetherian ring R. In [14], McAdam, Ratliff, and Sally prove that the set P(I ) of integrally closed ideals projectively equivalent to I is linearly ordered by inclusion and eventually periodic. (P(I ) is eventually periodic means there exist I 1 , .…”
Section: Numerical Semigroups and Projectively Full Idealsmentioning
confidence: 98%
“…They also prove [14,Proposition 2.10] that if an ideal J is projectively equivalent to I , then I and J have the same Rees valuations and the values of I and J with respect to these Rees valuations are proportional. Our goal in the present paper is to build on the work in [14] and further develop the relationship between projective equivalence of ideals and Rees valuations.…”
Section: Introductionmentioning
confidence: 94%
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