We define a type of biquandle which is a generalization of symplectic quandles. We use the extra structure of these bilinear biquandles to define new knot and link invariants and give some examples.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm112-2-5, author = {Sam Nelson and Jacquelyn L. Rische}, title = {On bilinear biquandles}, journal = {Colloquium Mathematicae}, volume = {111}, year = {2008}, pages = {279-289}, zbl = {1186.57011}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm112-2-5} }
Sam Nelson; Jacquelyn L. Rische. On bilinear biquandles. Colloquium Mathematicae, Tome 111 (2008) pp. 279-289. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm112-2-5/