R-Sequences and Homological Dimension
1962 ◽
Vol 20
◽
pp. 195-199
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The motivation for the results in this note comes from a theorem of Macaulay. Let f 1, …, fn be elements of a polynomial ring R over a field, and let I be the ideal they generate. Assume I R and rank (I) = n. Then the theorem of Lasker and Macaulay asserts that I is unmixed (all prime ideals belonging to I have rank n). Macaulay [1, p. 51] proved further that any power of I is unmixed.
1971 ◽
Vol 23
(2)
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pp. 197-201
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2000 ◽
Vol 43
(3)
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pp. 312-319
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1989 ◽
Vol 39
(2)
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pp. 215-223
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2016 ◽
Vol 19
(A)
◽
pp. 371-390
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Keyword(s):
2019 ◽
Vol 19
(10)
◽
pp. 2050201
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1999 ◽
Vol 153
◽
pp. 141-153
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1991 ◽
Vol 14
(1)
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pp. 155-162
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1981 ◽
Vol 81
◽
pp. 105-112
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Keyword(s):