Characterization of Polynomial Prime Bidecompositions a Simplified Proof

  title={Characterization of Polynomial Prime Bidecompositions a Simplified Proof},
  author={Franz Binder},
Bidecompositions, i.e., solutions to r ◦ p = s ◦ q, play a central rôle in the study of uniqueness properties of complete decompositions with respect to functional composition. In [Rit22] all bidecompositions using polynomials over the complex number field have been characterized. Later the result was generalized to more general fields. All proofs tend to be rather long and involved. The object of this paper is to develop a version that is simpler than the existing ones, while keeping… CONTINUE READING

From This Paper

Topics from this paper.


Publications referenced by this paper.
Showing 1-6 of 6 references

Ann Arbor

A. Schinzel, Seclected topics on polynomials
University of Michigan press, • 1982
View 5 Excerpts
Highly Influenced

Master’s thesis

Franz Binder, Polynomial decomposition
University of Linz, June • 1995
View 1 Excerpt

Dickson polynomials

R. Lidl, G. L. Mullen, G. Turnwald
Pitman Monographs and Surveys in Pure and Applied Mathematics, vol. 65, Longman Scientific & Technical, London • 1993
View 1 Excerpt

Whaples, Prime and composite polynomials

G. F. Dorey
Journal of Algebra (1974), • 1974


Hans Lausch, Wilfried Nöbauer, Algebra of polynomials, NorthHolland Mathematical Library
5, North Holland, Amsterdam, • 1973
View 3 Excerpts

Composite polynomials with coefficients in an arbitrary field of characteristic zero

H. Levi
American Journal of Mathematics (1942), • 1942

Similar Papers

Loading similar papers…