@article{Iqbal2022, 
author = {Zaffar Iqbal and Xiujun Zhang and Mobeen Munir and Ghina Mubashar},
title = {Hilbert series of mixed braid monoid    M      B          2      ,      2},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {9},
pages = {17080-17090},
keywords = {braid group, mixed braid monoid, canonical words, complete presentation, Hilbert series},
url = {https://www.sciopen.com/article/10.3934/math.2022939},
doi = {10.3934/math.2022939},
abstract = {Hilbert series is a simplest way to calculate the dimension and the degree of an algebraic variety by an explicit polynomial equation. The mixed braid group        B          m      ,      n       is a subgroup of the Artin braid group        B          m      +      n      . In this paper we find the ambiguity-free presentation and the Hilbert series of canonical words of mixed braid monoid    M      B          2      ,      2      .}
}