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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm97-1-10, author = {Andrzej Nowicki and Ilona Nowosad}, title = {Local derivations for quotient and factor algebras of polynomials}, journal = {Colloquium Mathematicae}, volume = {96}, year = {2003}, pages = {107-116}, zbl = {1074.12004}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm97-1-10} }
Andrzej Nowicki; Ilona Nowosad. Local derivations for quotient and factor algebras of polynomials. Colloquium Mathematicae, Tome 96 (2003) pp. 107-116. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm97-1-10/