# A characterization of p-bases of rings of constants

Open Mathematics (2013)

- Volume: 11, Issue: 5, page 900-909
- ISSN: 2391-5455

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topPiotr Jędrzejewicz. "A characterization of p-bases of rings of constants." Open Mathematics 11.5 (2013): 900-909. <http://eudml.org/doc/269270>.

@article{PiotrJędrzejewicz2013,

abstract = {We obtain two equivalent conditions for m polynomials in n variables to form a p-basis of a ring of constants of some polynomial K-derivation, where K is a unique factorization domain of characteristic p > 0. One of these conditions involves Jacobians while the other some properties of factors. In the case m = n this extends the known theorem of Nousiainen, and we obtain a new formulation of the Jacobian conjecture in positive characteristic.},

author = {Piotr Jędrzejewicz},

journal = {Open Mathematics},

keywords = {Derivation; Ring of constants; p-basis; Jacobian conjecture; derivation; ring of constants; -basis},

language = {eng},

number = {5},

pages = {900-909},

title = {A characterization of p-bases of rings of constants},

url = {http://eudml.org/doc/269270},

volume = {11},

year = {2013},

}

TY - JOUR

AU - Piotr Jędrzejewicz

TI - A characterization of p-bases of rings of constants

JO - Open Mathematics

PY - 2013

VL - 11

IS - 5

SP - 900

EP - 909

AB - We obtain two equivalent conditions for m polynomials in n variables to form a p-basis of a ring of constants of some polynomial K-derivation, where K is a unique factorization domain of characteristic p > 0. One of these conditions involves Jacobians while the other some properties of factors. In the case m = n this extends the known theorem of Nousiainen, and we obtain a new formulation of the Jacobian conjecture in positive characteristic.

LA - eng

KW - Derivation; Ring of constants; p-basis; Jacobian conjecture; derivation; ring of constants; -basis

UR - http://eudml.org/doc/269270

ER -

## References

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