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.
| Original language | English |
|---|---|
| Pages (from-to) | 505-519 |
| Number of pages | 15 |
| Journal | Journal of Algebra |
| Volume | 296 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2006 |
Keywords
- algebra
- cellular
- inverse