ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. 62,   2   (1993)
pp.   191-195

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