8 citations · 29 across the 17 of their papers we have counts for
4 papers · 1 filter
A complete presentation of $(\mathbb{C}\mbox{[X]},\circ)$
Barbu Rudolf Berceanu
We recall the fundamental theorem of J.F. Ritt, with a stress on the action of the affine group and canonical forms of complex polynomials. Then we give a complete presentation of…
Relative Garside elements of Artin monoids
Usman Ali, Barbu Berceanu, Zaffar Iqbal
We introduce a relative Garside element, the quotient of the corresponding Garside elements G1 and G2, for a pair of Artin monoids associated to Coxeter graphs Gamma1 and Gamma2, t…
Universal Upper Bound for the Growth of Artin Monoids
Barbu Berceanu, Zaffar Iqbal
In this paper we study the growth rates of Artin monoids and we show that 4 is a universal upper bound. We also show that the generating functions of the associated right-angled Ar…
Universal representations of braid and braid-permutation groups
Barbu Berceanu, Stefan Papadima
Drinfel'd used associators to construct families of universal representations of braid groups. We consider semi-associators (i.e., we drop the pentagonal axiom and impose a normali…