Nowicki, Andrzej The fourteenth problem of Hilbert for polynomial derivations. (English) Zbl 1029.13015 Crespo, Teresa (ed.) et al., Differential Galois theory. Proceedings of the workshop, Bȩdlewo, Poland, May 28-June 1, 2001. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 58, 177-188 (2002). Summary: We present some facts, observations and remarks concerning the problem of finiteness of the rings of constants for derivations of polynomial rings over a commutative ring \(k\) containing the field \(\mathbb Q\) of rational numbers.For the entire collection see [Zbl 1007.00030]. Cited in 1 ReviewCited in 3 Documents MSC: 13N15 Derivations and commutative rings 12H05 Differential algebra 13F20 Polynomial rings and ideals; rings of integer-valued polynomials Keywords:finiteness of the rings of constants; derivations of polynomial rings PDFBibTeX XMLCite \textit{A. Nowicki}, Banach Cent. Publ. 58, 177--188 (2002; Zbl 1029.13015) Full Text: DOI