ICAR Research Data Repository for Knowledge Management
MULTIGRADED REES-ALGEBRAS AND MIXED MULTIPLICITIES
DSpace at IIT Bombay
View Archive Info| Field | Value | |
| Title |
MULTIGRADED REES-ALGEBRAS AND MIXED MULTIPLICITIES
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| Creator |
VERMA, JK
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| Subject |
graded algebras
cohen-macaulay ideals dimension rings |
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| Description |
Let I1,I2,..., I(g) be ideals of positive height in a local ring (R, m). Let I0 be m-primary. Set S = R[I1t1, I2t2,..., I(g)t(g)], where t1,...,t(g) are indeterminates and M = (m,I1t1,I2t2,...,I(g)t(g)). A formula is developed for the multiplicity of the ideal (I0,I1t1,I2t2,...,I(g)t(g))S(M) in terms of mixed multiplicities of I0,I1,...,I(g). This formula is used to prove that if R is Cohen-Macaulay of dimension 2 and I1 = m(ag) for positive integers a1, a2,...,a(g), then S(M) is Cohen-Macaulay with minimal multiplicity if and only if R has minimal multiplicity.
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| Publisher |
ELSEVIER SCIENCE BV
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| Date |
2011-07-25T21:51:52Z
2011-12-26T12:52:11Z 2011-12-27T05:39:15Z 2011-07-25T21:51:52Z 2011-12-26T12:52:11Z 2011-12-27T05:39:15Z 1992 |
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| Type |
Article
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| Identifier |
JOURNAL OF PURE AND APPLIED ALGEBRA, 77(2), 219-228
0022-4049 http://dx.doi.org/10.1016/0022-4049(92)90087-V http://dspace.library.iitb.ac.in/xmlui/handle/10054/6794 http://hdl.handle.net/10054/6794 |
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| Language |
en
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