Turkish Journal of Mathematics
Abstract
L. A. Bokut gave a Gröbner--Shirshov basis of the braid group B_n in band generators. Using this presentation and solving all the ambiguities we construct a linear system for irreducible words and compute the Hilbert series of the braid monoid MB_4.
DOI
10.3906/mat-1401-58
Keywords
Braid monoids, Gröbner--Shirshov basis, reducible and irreducible words, Hilbert series
First Page
977
Last Page
984
Recommended Citation
IQBAL, ZAFFAR and YOUSAF, SHAMAILA
(2014)
"Hilbert series of the braid monoid MB_4 in band generators,"
Turkish Journal of Mathematics: Vol. 38:
No.
6, Article 3.
https://doi.org/10.3906/mat-1401-58
Available at:
https://journals.tubitak.gov.tr/math/vol38/iss6/3
