zbMATH — the first resource for mathematics

A remark on permutable polynomials. (English) Zbl 0915.12001
Contributions to general algebra 10. Selection of lectures given at the conference on general algebra, Klagenfurt, Austria, May 29–June 1, 1997. Klagenfurt: Verlag Johannes Heyn. 139-142 (1998).
The authors show, using essentially the Lefschetz principle, that their classification of commutative subsemigroups of the semigroup of complex polynomials with composition obtained earlier [G. Eigenthaler and H. Woracek, Contributions to general algebra 9, 163-182 (1995; Zbl 0897.12001)] carries over to the case when the coefficients are taken from an arbitrary algebraically closed field of characteristic zero.
For the entire collection see [Zbl 0889.00019].
12E10 Special polynomials in general fields
20M14 Commutative semigroups
20M20 Semigroups of transformations, relations, partitions, etc.