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On some properties of (fc)-sequences of ideals in local rings
Author(s):
Duong
Quôc
Viêt
Journal:
Proc. Amer. Math. Soc.
131
(2003),
45-53.
MSC (2000):
Primary 13A15;
Secondary 13H15
Posted:
May 15, 2002
MathSciNet review:
1929022
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Abstract:
The paper characterizes the length of maximal sequences satisfying conditions (i) and (ii) of (FC)-sequences, and proves some properties of (FC)-sequences, such as a bound on their lengths. As a consequence we get some results for mixed multiplicities and multiplicities of Rees rings of equimultiple ideals. We also prove that if  is an ideal of positive height and  is an arbitrary maximal sequence in  satisfying conditions (i) and (ii) of (FC)-sequences, then  is a reduction of 
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Additional Information:
Duong
Quôc
Viêt
Affiliation:
Department of Mathematics, Hanoi University of Technology, Dai Co Viet, Hanoi, Vietnam
Email:
duongquocviet@bdvn.vnmail.vnd.net
DOI:
10.1090/S0002-9939-02-06526-7
PII:
S 0002-9939(02)06526-7
Keywords:
(FC)-sequence,
mixed multiplicity,
multiplicity of Rees ring,
reduction,
equimultiple ideal
Received by editor(s):
April 9, 2001
Received by editor(s) in revised form:
August 16, 2001
Posted:
May 15, 2002
Additional Notes:
The author was partially supported by the National Basic Research Program
Communicated by:
Wolmer V. Vasconcelos
Copyright of article:
Copyright
2002,
American Mathematical Society
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