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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].

MSC:

13N15 Derivations and commutative rings
12H05 Differential algebra
13F20 Polynomial rings and ideals; rings of integer-valued polynomials
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