10 citations · 62 across the 38 of their papers we have counts for
45 papers
Garside combinatorics for Thompson's monoid and a hybrid with the braid monoid
Patrick Dehornoy, Emilie Tesson
On the model of simple braids, defined to be the left divisors of Garside's elements in the monoid , we investigate simple elements in Thompson's monoid …
A cancellativity criterion for presented monoids
Patrick Dehornoy
We establish a new, fairly general cancellativity criterion for a presented monoid that properly extends the previously known related criteria. It is based on a new version of the…
The Braid Shelf
Patrick Dehornoy
The braids of can be equipped with a selfdistributive operation enjoying a number of deep properties. This text is a survey of known properti…
Some aspects of the SD-world
Patrick Dehornoy
We survey a few of the many results now known about the self-distributivity law and selfdistributive structures, with a special emphasis on the associated word problems and the alg…
Multifraction reduction IV: Padding and Artin-Tits groups of sufficiently large type
Patrick Dehornoy, Derek F. Holt, Sarah Rees
We investigate the padded version of reduction, an extension of multifraction reduction as defined in arXiv:1606.08991, and connect it both with ordinary reduction and with the so-…
Multifraction reduction III: The case of interval monoids
Patrick Dehornoy, Friedrich Wehrung
We investigate gcd-monoids, which are cancellative monoids in which any two elements admit a left and a right gcd, and the associated reduction of multifractions (arXiv:1606.08991…