|The ranks of ideals in various transformation monoids
Ping Zhao; Fernandes, Vítor Hugo
To appear in Communications in Algebra
In this paper we consider various classes of monoids of transformations of a finite chain, including those of transformations that preserve or reverse either the order or the orientation. In line with Howie and McFadden (1990), we complete the study of the ranks (and of idempotent ranks, when applicable) of all their ideals.