A note on semisimple derivations of commutative algebras

• Autorzy: Andrzej Tyc
• Języki publikacji: EN

Abstrakty

EN

A concept of a slice of a semisimple derivation is introduced. Moreover, it is shown that a semisimple derivation d of a finitely generated commutative algebra A over an algebraically closed field of characteristic 0 is nothing other than an algebraic action of a torus on Max(A), and, using this, that in some cases the derivation d is linearizable or admits a maximal invariant ideal.

Kategorie tematyczne

• 13A02: Graded rings
• 14L30: Group actions on varieties or schemes (quotients)
• 13B10: Morphisms

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2005
• Tom: 102
• Numer: 2
• Strony: 263-270

Daty

wydano

2005

Twórcy

autor

Andrzej Tyc

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Identyfikatory

DOI

10.4064/cm102-2-7