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We describe all Kadison algebras of the form , 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.
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 -