A Class of Monoids Embeddable in a Group

Authors : Ebru Keyman

Pages : 299-305

View : 12 | Download : 8

Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :In this paper, we develop a new method to show that a monoid, given by a certain kind of presentation, embeds in a group. A mathematical device called the diamond condition was used in [5] to prove that the singular braid monoid SBn embeds. Motivated by this, we consider monoid presentations which have the basic properties of the presentation of the singular braid monoid. In the same way as in [5], we prove that the monoid embeds. The proof of the diamond condition is completely geometric in [5], but here we prove it by using elementary algebraic properties.
Keywords : Embedding, monoid presentation, group presentation, geometric braids.