Irreducible Jacobian derivations in positive characteristic
Open Mathematics (2014)
- Volume: 12, Issue: 8, page 1278-1284
- ISSN: 2391-5455
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topPiotr Jędrzejewicz. "Irreducible Jacobian derivations in positive characteristic." Open Mathematics 12.8 (2014): 1278-1284. <http://eudml.org/doc/269064>.
@article{PiotrJędrzejewicz2014,
abstract = {We prove that an irreducible polynomial derivation in positive characteristic is a Jacobian derivation if and only if there exists an (n-1)-element p-basis of its ring of constants. In the case of two variables we characterize these derivations in terms of their divergence and some nontrivial constants.},
author = {Piotr Jędrzejewicz},
journal = {Open Mathematics},
keywords = {Jacobian derivation; Ring of constants; p-basis; ring of constants; -basis},
language = {eng},
number = {8},
pages = {1278-1284},
title = {Irreducible Jacobian derivations in positive characteristic},
url = {http://eudml.org/doc/269064},
volume = {12},
year = {2014},
}
TY - JOUR
AU - Piotr Jędrzejewicz
TI - Irreducible Jacobian derivations in positive characteristic
JO - Open Mathematics
PY - 2014
VL - 12
IS - 8
SP - 1278
EP - 1284
AB - We prove that an irreducible polynomial derivation in positive characteristic is a Jacobian derivation if and only if there exists an (n-1)-element p-basis of its ring of constants. In the case of two variables we characterize these derivations in terms of their divergence and some nontrivial constants.
LA - eng
KW - Jacobian derivation; Ring of constants; p-basis; ring of constants; -basis
UR - http://eudml.org/doc/269064
ER -
References
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