Local derivations for quotient and factor algebras of polynomials

Andrzej Nowicki; Ilona Nowosad

Colloquium Mathematicae (2003)

  • Volume: 97, Issue: 1, page 107-116
  • ISSN: 0010-1354

Abstract

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We describe all Kadison algebras of the form S - 1 k [ t ] , where k is an algebraically closed field and S is a multiplicative subset of k[t]. We also describe all Kadison algebras of the form k[t]/I, where k is a field of characteristic zero.

How to cite

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Andrzej Nowicki, and Ilona Nowosad. "Local derivations for quotient and factor algebras of polynomials." Colloquium Mathematicae 97.1 (2003): 107-116. <http://eudml.org/doc/284535>.

@article{AndrzejNowicki2003,
abstract = {We describe all Kadison algebras of the form $S^\{-1\}k[t]$, where k is an algebraically closed field and S is a multiplicative subset of k[t]. We also describe all Kadison algebras of the form k[t]/I, where k is a field of characteristic zero.},
author = {Andrzej Nowicki, Ilona Nowosad},
journal = {Colloquium Mathematicae},
keywords = {derivation; factor algebra; polynomials; Kadison algebra; algebra of quotients},
language = {eng},
number = {1},
pages = {107-116},
title = {Local derivations for quotient and factor algebras of polynomials},
url = {http://eudml.org/doc/284535},
volume = {97},
year = {2003},
}

TY - JOUR
AU - Andrzej Nowicki
AU - Ilona Nowosad
TI - Local derivations for quotient and factor algebras of polynomials
JO - Colloquium Mathematicae
PY - 2003
VL - 97
IS - 1
SP - 107
EP - 116
AB - We describe all Kadison algebras of the form $S^{-1}k[t]$, where k is an algebraically closed field and S is a multiplicative subset of k[t]. We also describe all Kadison algebras of the form k[t]/I, where k is a field of characteristic zero.
LA - eng
KW - derivation; factor algebra; polynomials; Kadison algebra; algebra of quotients
UR - http://eudml.org/doc/284535
ER -

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