Turkish Journal of Mathematics
DOI
-
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 SB_n 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.
First Page
299
Last Page
305
Recommended Citation
KEYMAN, EBRU (2001) "A Class of Monoids Embeddable in a Group," Turkish Journal of Mathematics: Vol. 25: No. 2, Article 5. Available at: https://journals.tubitak.gov.tr/math/vol25/iss2/5
