A note on the multiplicity in factor ring

Mathematica Slovaca

Eduard Boďa¹ 

关键词: multiplicity;    rational parametrization;    field extension;   

DOI  :  10.2478/s12175-008-0065-4

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

Let (R,m) = k[x 1,..., x n](x 1,...,x n) be a local polynomial ring (k being an algebraically closed field), and Q:= (F 1,..., F r)R be a primary ideal in R with respect to a maximal ideal m ⊂ R. In this short note we give a formula for the multiplicity e 0 (QR/(F 1)R, R/(F 1)R).

【 授权许可】

Unknown