Polynomials with a common composite

Robert M. Beals, Joseph L. Wetherell, Michael E. Zieve

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

Let f and g be nonconstant polynomials over a field K. In this paper we study the pairs (f, g) for which the intersection K[f] ∩ K[g] is larger than K. We describe all such pairs in case K has characteristic zero, as a consequence of classical results due to Ritt. For fields K of positive characteristic we present various results, examples, and algorithms.

Original languageEnglish (US)
Pages (from-to)93-117
Number of pages25
JournalIsrael Journal of Mathematics
Volume174
Issue number1
DOIs
StatePublished - Nov 2009
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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