A note on rings of constants of derivations in integral domains

Piotr Jędrzejewicz

Colloquium Mathematicae (2011)

  • Volume: 122, Issue: 2, page 241-245
  • ISSN: 0010-1354

Abstract

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We observe that the characterization of rings of constants of derivations in characteristic zero as algebraically closed subrings also holds in positive characteristic after some natural adaptation. We also present a characterization of such rings in terms of maximality in some families of rings.

How to cite

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Piotr Jędrzejewicz. "A note on rings of constants of derivations in integral domains." Colloquium Mathematicae 122.2 (2011): 241-245. <http://eudml.org/doc/284129>.

@article{PiotrJędrzejewicz2011,
abstract = {We observe that the characterization of rings of constants of derivations in characteristic zero as algebraically closed subrings also holds in positive characteristic after some natural adaptation. We also present a characterization of such rings in terms of maximality in some families of rings.},
author = {Piotr Jędrzejewicz},
journal = {Colloquium Mathematicae},
keywords = {ring of constants; derivation; separably algebraically closed subring},
language = {eng},
number = {2},
pages = {241-245},
title = {A note on rings of constants of derivations in integral domains},
url = {http://eudml.org/doc/284129},
volume = {122},
year = {2011},
}

TY - JOUR
AU - Piotr Jędrzejewicz
TI - A note on rings of constants of derivations in integral domains
JO - Colloquium Mathematicae
PY - 2011
VL - 122
IS - 2
SP - 241
EP - 245
AB - We observe that the characterization of rings of constants of derivations in characteristic zero as algebraically closed subrings also holds in positive characteristic after some natural adaptation. We also present a characterization of such rings in terms of maximality in some families of rings.
LA - eng
KW - ring of constants; derivation; separably algebraically closed subring
UR - http://eudml.org/doc/284129
ER -

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