Article ID Journal Published Year Pages File Type
4588998 Journal of Algebra 2006 15 Pages PDF
Abstract

We show that under certain compatability assumptions, the semigroup algebra of an inverse semigroup is cellular if the group algebras of its maximal subgroups are cellular. Motivating examples include the symmetric inverse semigroup (also known as the rook monoid), and the dual symmetric inverse semigroup.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory