# A note on characterizations of rings of constants with respect to derivations

Colloquium Mathematicae (2004)

- Volume: 99, Issue: 1, page 51-53
- ISSN: 0010-1354

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topPiotr Jędrzejewicz. "A note on characterizations of rings of constants with respect to derivations." Colloquium Mathematicae 99.1 (2004): 51-53. <http://eudml.org/doc/285174>.

@article{PiotrJędrzejewicz2004,

abstract = {Let A be a commutative algebra without zero divisors over a field k. If A is finitely generated over k, then there exist well known characterizations of all k-subalgebras of A which are rings of constants with respect to k-derivations of A. We show that these characterizations are not valid in the case when the algebra A is not finitely generated over k.},

author = {Piotr Jędrzejewicz},

journal = {Colloquium Mathematicae},

keywords = {constants of derivations},

language = {eng},

number = {1},

pages = {51-53},

title = {A note on characterizations of rings of constants with respect to derivations},

url = {http://eudml.org/doc/285174},

volume = {99},

year = {2004},

}

TY - JOUR

AU - Piotr Jędrzejewicz

TI - A note on characterizations of rings of constants with respect to derivations

JO - Colloquium Mathematicae

PY - 2004

VL - 99

IS - 1

SP - 51

EP - 53

AB - Let A be a commutative algebra without zero divisors over a field k. If A is finitely generated over k, then there exist well known characterizations of all k-subalgebras of A which are rings of constants with respect to k-derivations of A. We show that these characterizations are not valid in the case when the algebra A is not finitely generated over k.

LA - eng

KW - constants of derivations

UR - http://eudml.org/doc/285174

ER -

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