(FC)-sequence Equimultiple ideal Mixed multiplicity Multiplicity of Rees ring Reduction
Issue Date:
2003
Publisher:
Proceedings of the American Mathematical Society
Citation:
Volume 131, Issue 1, Page 45-53
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 I is an ideal of positive height and x1, x2,... ,xp is an arbitrary maximal sequence in I satisfying conditions (i) and (ii) of (FC)-sequences, then (x1, x2,... ,xp) is a reduction of I.
