ON THE MINIMAL REDUCTION AND MULTIPLICITY OF $(X^m, Y^n, X^kY^l, X^rY^s)$
E. BODA, D. ORSZAGHOVA and S. SOLCAN
Abstract.
An explicite formula to calculate the multiplicity of the ideal\linebreak $(X^m, Y^n, X^kY^l, X^rY^s)\cdot A $ in $A = K[X,Y]_(X, Y)$ is given.
AMS subject classification.
13H15, 13A30; Secondary 13B25
Keywords.
Multiplicity, System of parameters, Reduction of an ideal, Rees ring
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