2 papers
math.GR2025
Two-sided homological properties of special and one-relator monoids
Robert D. Gray, Benjamin Steinberg
A monoid presentation is called special if the right-hand side of each defining relation is equal to 1. We prove results which relate the two-sided homological finiteness propertie…
math.CO2018
Simplicity of augmentation submodules for transformation monoids
M. H. Shahzamanian, B. Steinberg
For finite permutation groups, simplicity of the augmentation submodule is equivalent to -transitivity over the field of complex numbers. We note that this is not the case for t…