We give a description of all local derivations (in the Kadison sense) in the polynomial ring in one variable in characteristic two. Moreover, we describe all local derivations in the power series ring in one variable in any characteristic.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-2-11,
author = {Janusz Zieli\'nski},
title = {Local derivations in polynomial and power series rings},
journal = {Colloquium Mathematicae},
volume = {91},
year = {2002},
pages = {295-305},
zbl = {0998.12007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-2-11}
}
Janusz Zieliński. Local derivations in polynomial and power series rings. Colloquium Mathematicae, Tome 91 (2002) pp. 295-305. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-2-11/