Graph products and the absence of property (AR)
arXiv:1612.05127 · doi:10.1017/S1446788717000192
Abstract
We discuss the internal structure of graph products of right LCM semigroups and prove that there is an abundance of examples without property (AR). Thereby we provide the first examples of right LCM semigroups lacking this seemingly common feature. The results are particularly sharp for right-angled Artin monoids.
13 pages