Posets of Finite Functions
Posets of Finite Functions
The symmetric group $ S(n) $ is partially ordered by Bruhat order. This order is extended by L. Renner to the set of partial injective functions of $ \{ 1, 2, \ldots, n \} $ (see, Linear Algebraic Monoids, Springer, 2005). This poset is investigated by M. Fortin in his …