A note on semisimple derivations of commutative algebras

Andrzej Tyc

Colloquium Mathematicae (2005)

  • Volume: 102, Issue: 2, page 263-270
  • ISSN: 0010-1354

Abstract

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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 Max(A), and, using this, that in some cases the derivation d is linearizable or admits a maximal invariant ideal.

How to cite

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Andrzej Tyc. "A note on semisimple derivations of commutative algebras." Colloquium Mathematicae 102.2 (2005): 263-270. <http://eudml.org/doc/283844>.

@article{AndrzejTyc2005,
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 Max(A), and, using this, that in some cases the derivation d is linearizable or admits a maximal invariant ideal.},
author = {Andrzej Tyc},
journal = {Colloquium Mathematicae},
keywords = {slice of semisimple derivation; torus action; linearization},
language = {eng},
number = {2},
pages = {263-270},
title = {A note on semisimple derivations of commutative algebras},
url = {http://eudml.org/doc/283844},
volume = {102},
year = {2005},
}

TY - JOUR
AU - Andrzej Tyc
TI - A note on semisimple derivations of commutative algebras
JO - Colloquium Mathematicae
PY - 2005
VL - 102
IS - 2
SP - 263
EP - 270
AB - 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.
LA - eng
KW - slice of semisimple derivation; torus action; linearization
UR - http://eudml.org/doc/283844
ER -

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