A note on the multiplicity in factor ring |
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| Authors: | Eduard Boďa |
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| Institution: | (1) Department of Algebra, Geometry and Didactic of Mathematics, Faculty of Mathematics Physics and Informatics Comenius University, SK-842 48 Bratislava, Slovakia |
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| Abstract: | Let (R,m) = kx
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).
The author was supported by the grant No. 1/0262/03) of the Slovak Ministry of Education. |
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| Keywords: | multiplicity rational parametrization field extension |
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