A criterion for the primeness of ideals generated by polynomials with separated variables |
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Authors: | Konrad Neumann |
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Institution: | (1) Department of Mathematics, Tel Aviv University, Ramat Aviv, 69978 Tel Aviv, Israel |
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Abstract: | Proving primeness of an idealI=〈f
1, …,f
m〉 in a polynomial ringR=KX
1, …,X
n]ofn indeterminates over an algebraically closed fieldK is a difficult task in general. Although there are straightforward algorithms that decide whetherI is prime or not, they are prohibitively lengthy if the number of indeterminates or the degrees of thef
iare large. In this paper we will give an easy criterion for the primeness ofI if thef
iare polynomials with separated variables, i.e. no mixed monomials occur in thef
i.
The work on this paper was done while the author was a MINERVA fellow at Tel Aviv University. |
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Keywords: | |
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