Garside Structure for Singular Braid Monoid in Birman,Ko, Lee Generators

We consider a Birman, Ko, and Lee (BKL) presentation (defined by Vershinin, 2003 Vershinin , V. V. ( 2003 ). On the singular braid monoid . http://www.arXiv.org.math. GR/6309339 . CSA]  Google Scholar]) for the semigroup of singular braids SB _n . We prove the embedding property for the monoid of positive singular braids and give a solution to the word and conjugacy problems in BKL generators.