Geodesic
A note on semisimple derivations of commutative algebras
Andrzej Tyc 1
1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland
Colloquium Mathematicum, Tome 102 (2005) no. 2, pp. 263-270 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm102-2-7
Keywords: concept slice semisimple derivation introduced moreover shown semisimple derivation finitely generated commutative algebra algebraically closed field characteristic nothing other algebraic action torus mathop max nolimits using cases derivation linearizable admits maximal invariant ideal

Andrzej Tyc  1

1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland 
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Andrzej Tyc. A note on semisimple derivations of
 commutative algebras. Colloquium Mathematicum, Tome 102 (2005) no. 2, pp. 263-270. doi: 10.4064/cm102-2-7

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