# 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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