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Links of prime ideals

Published online by Cambridge University Press:  24 October 2008

Alberto Corso ,
Claudia Polini  and
Wolmer V. Vasconcelos
Alberto Corso
Affiliation:
Department of Mathematics, Rutgers University. New Brunswick, New Jersey 08903
Claudia Polini
Affiliation:
Department of Mathematics, Rutgers University. New Brunswick, New Jersey 08903
Wolmer V. Vasconcelos
Affiliation:
Department of Mathematics, Rutgers University. New Brunswick, New Jersey 08903
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Extract

Roughly speaking, a link of an ideal of a Noetherian ring R is an ideal of the form I = (z): , where z = z1, …, zg is a regular sequence and g is the codimension of . This is a very common operation in commutative algebra, particularly in duality theory, and plays an important role in current methods to effect primary decomposition of polynomial ideals (see [2]).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 115 , Issue 3 , May 1994 , pp. 431 - 436
Copyright
Copyright © Cambridge Philosophical Society 1994

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References

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