A+ CATEGORY SCIENTIFIC UNIT

A note on semisimple derivations of commutative algebras

Volume 102 / 2005

Andrzej Tyc Colloquium Mathematicum 102 (2005), 263-270 MSC: 13A02, 13B10, 14L30. DOI: 10.4064/cm102-2-7

Abstract

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 $\mathop {\rm Max}\nolimits (A)$, and, using this, that in some cases the derivation $d$ is linearizable or admits a maximal invariant ideal.

Authors

  • Andrzej TycFaculty of Mathematics and Computer Science
    Nicolaus Copernicus University
    Chopina 12/18
    87-100 Toruń, Poland
    e-mail

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