Full ideals of polynomial rings |
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| Authors: | Alexander Kreuzer Carl J. Maxson |
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| Affiliation: | (1) Mathematisches Institut, Technische Universität München, 80290 München, Germany;(2) Department of Mathematics, Texas A & M University, 77843-3368 College Station, TX, USA |
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| Abstract: | An idealI of the ringK[x1, ...,xn] of polynomials over a fieldK inn indeterminates is a full ideal ifI is closed under substitution,f  I,g1...gn K[x1, ...,xn] implyf(g1, ...,gn) I. In this paper we continue the investigation of full ideals ofK[x1, ...,xn]. In particular we determine several classes of full ideals ofK[x, y] (K a finite field) and investigate properties of these classes.The first author gratefully acknowledges support from theDeutsche Forschungsgemeinschaft |
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| Keywords: | 13B25 13F20 16W99 16Y30 |
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