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 language | English (US) |
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Pages (from-to) | 93-117 |
Number of pages | 25 |
Journal | Israel Journal of Mathematics |
Volume | 174 |
Issue number | 1 |
DOIs | |
State | Published - Nov 2009 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Mathematics(all)