Generalized radical rings (braces) were introduced for the study of set-theoretical solutions of the quantum Yang-Baxter equation. We discuss their relationship to groups of I-type, virtual knot theory, and quantum groups.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-1-7, author = {Wolfgang Rump}, title = {Generalized radical rings, unknotted biquandles, and quantum groups}, journal = {Colloquium Mathematicae}, volume = {107}, year = {2007}, pages = {85-100}, zbl = {1117.81084}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-1-7} }
Wolfgang Rump. Generalized radical rings, unknotted biquandles, and quantum groups. Colloquium Mathematicae, Tome 107 (2007) pp. 85-100. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-1-7/