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On the least degree of polynomials bounding above the differences between lengths and multiplicities of certain systems of parameters in local rings

Published online by Cambridge University Press:  22 January 2016

Nguyen Tu Cuong
Nguyen Tu Cuong*
Affiliation:
Institute of Mathematics, P. O. Box 631 Bó Hô 10.000 Hanoi, Vietnam
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Let A be a commutative local Noetherian ring with the maximal ideal m and M a finitely generated A-module, d = dim M. It is well-known that the difference between the length and the multiplicity of a parameter ideal q of M

gives a lot of informations on the structure of the module M. For instance, M is a Cohen-Macaulay (CM for short) module if and only if IM(q) = 0 for some parameter ideal q or M is Buchsbaum module (see [S-V]) if and only if IM(q) is a constant for all parameter ideals q of M.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 125 , March 1992 , pp. 105 - 114
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1992

References

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