Locally nilpotent monomial derivations

• Autorzy: Karaś, M.
• Języki publikacji: EN

Abstrakty

EN

We prove that every locally nilpotent monomial k-derivation of k[X1,..., -Xn] is triangular, whenever k is a ring of characteristic zero. A method of testing monomial k-derivations for local nilpotency is also presented.

Słowa kluczowe

PL

wyprowadzenie lokalnie nilpotentne

EN

locally nilpotent derivation

• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: Vol. 52, nr 2
• Strony: 119-121
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Karaś, M.

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland,

Bibliografia

• [1] M. Ferrero, Y. Lequain and A. Nowicki, A note on locally nilpotent derivations, J. Pure Appl. Algebra 79 (1992), 45-50.
• [2] S. Maubach,Triangular monomial derivation on k[X1;X2;X3;X4] has kernel generated by at most four elements, ibid. 153 (2000), 165-170.
• [3] A. Nowicki, Polynomial Derivations and their Rings of Constants, Univ. of Toruń, 1994.
• [4] P. van Rossum, Tackling Problems on Affine Space with Locally Nilpotent Derivation on Polynomial Rings, PhD thesis, Nijmegen Univ., 2001.