ON THE NONNEGATIVITY OF NORMAL HILBERT COEFFICIENTS OF TWO IDEALS
DSpace at IIT Bombay
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Title |
ON THE NONNEGATIVITY OF NORMAL HILBERT COEFFICIENTS OF TWO IDEALS
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Creator |
MASUTI, SK
VERMA, JK |
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Subject |
Analytically unramified local ring
integral closure of an ideal normal Hilbert polynomial LOCAL-RINGS MULTIPLICITIES |
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Description |
Let (R, m) be an analytically unramified local ring of dimension d >= 1, and let I, J be m-primary ideals. Let (e) over bar ((i, j)) (I, J) be the coefficient of [GRAPHICS] of the normal Hilbert polynomial of I and J. In this paper we prove that (e) over bar ((i, j)) (I, J) are nonnegative for i + j >= d - 3 in Cohen-Macaulay local rings. We also prove that, if i + j = d - 1, then (e) over bar ((i, j)) (I, J) are nonnegative in unmixed local rings.
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Publisher |
ROCKY MT MATH CONSORTIUM
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Date |
2014-10-15T16:34:41Z
2014-10-15T16:34:41Z 2013 |
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Type |
Article
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Identifier |
JOURNAL OF COMMUTATIVE ALGEBRA, 5(2)281-298
http://dx.doi.org/10.1216/JCA-2013-5-2-281 http://dspace.library.iitb.ac.in/jspui/handle/100/15222 |
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Language |
en
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