2 papers
math.GR2026
On Schur Rings Over Semigroups
Joseph E. Marrow, Andrew Misseldine
We generalize the idea of a Schur ring of a group to the category of semigroups. Fundamental results of Schur rings over groups are shown to be true for Schur rings over semigroups…
math.GR2018
On Schur Rings Over Infinite Groups
Nicholas Bastian, Jaden Brewer, Andrew Misseldine
Schur rings are a type of subring of the group ring that is spanned by a partition of the group that meets certain conditions. Past literature has exclusively focused on the finite…