Locally Nilpotent Monomial Derivations

Marek Karaś

Bulletin of the Polish Academy of Sciences. Mathematics (2004)

  • Volume: 52, Issue: 2, page 119-121
  • ISSN: 0239-7269

Abstract

top
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.

How to cite

top

Marek Karaś. "Locally Nilpotent Monomial Derivations." Bulletin of the Polish Academy of Sciences. Mathematics 52.2 (2004): 119-121. <http://eudml.org/doc/280713>.

@article{MarekKaraś2004,
abstract = {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.},
author = {Marek Karaś},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {locally nilpotent derivation; monomial derivation},
language = {eng},
number = {2},
pages = {119-121},
title = {Locally Nilpotent Monomial Derivations},
url = {http://eudml.org/doc/280713},
volume = {52},
year = {2004},
}

TY - JOUR
AU - Marek Karaś
TI - Locally Nilpotent Monomial Derivations
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2004
VL - 52
IS - 2
SP - 119
EP - 121
AB - 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.
LA - eng
KW - locally nilpotent derivation; monomial derivation
UR - http://eudml.org/doc/280713
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.