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

Piotr Jędrzejewicz

Colloquium Mathematicae (2004)

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

Abstract

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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.

How to cite

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Piotr 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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