- Turkish Journal of Mathematics
- Vol: 38 Issue: 6
- Hilbert series of the braid monoid MB4 in band generators
Hilbert series of the braid monoid MB4 in band generators
Authors : Zaffar Iqbal, Shamaila Yousaf
Pages : 977-984
Doi:10.3906/mat-1401-58
View : 9 | Download : 7
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :L. A. Bokut gave a Gröbner--Shirshov basis of the braid group Bn 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 MB4.Keywords : Braid monoids, Gröbner--Shirshov basis, reducible and irreducible words, Hilbert series