On local derivations in the Kadison sense

Andrzej Nowicki

Colloquium Mathematicae (2001)

  • Volume: 89, Issue: 2, page 193-198
  • ISSN: 0010-1354

Abstract

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Let k be a field. We prove that any polynomial ring over k is a Kadison algebra if and only if k is infinite. Moreover, we present some new examples of Kadison algebras and examples of algebras which are not Kadison algebras.

How to cite

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Andrzej Nowicki. "On local derivations in the Kadison sense." Colloquium Mathematicae 89.2 (2001): 193-198. <http://eudml.org/doc/283778>.

@article{AndrzejNowicki2001,
abstract = {Let k be a field. We prove that any polynomial ring over k is a Kadison algebra if and only if k is infinite. Moreover, we present some new examples of Kadison algebras and examples of algebras which are not Kadison algebras.},
author = {Andrzej Nowicki},
journal = {Colloquium Mathematicae},
keywords = {Kadison algebra; local derivation},
language = {eng},
number = {2},
pages = {193-198},
title = {On local derivations in the Kadison sense},
url = {http://eudml.org/doc/283778},
volume = {89},
year = {2001},
}

TY - JOUR
AU - Andrzej Nowicki
TI - On local derivations in the Kadison sense
JO - Colloquium Mathematicae
PY - 2001
VL - 89
IS - 2
SP - 193
EP - 198
AB - Let k be a field. We prove that any polynomial ring over k is a Kadison algebra if and only if k is infinite. Moreover, we present some new examples of Kadison algebras and examples of algebras which are not Kadison algebras.
LA - eng
KW - Kadison algebra; local derivation
UR - http://eudml.org/doc/283778
ER -

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