Rank properties in finite inverse semigroups
Maria Isabel, Marques Ribeiro · Proceedings of the Edinburgh Mathematical Society · 2000
Abstract Two possible concepts of rank in inverse semigroup theory, the intermediateI-rank and the upperI-rank, are investigated for the finite aperiodic Brandt semigroup. The so-called largeI-rank is found for an arbitrary finite Brandt semigroup, and the result is used to obtain the large rank of the inverse semigroup of all proper subpermutations of a finite set.