Nilpotents in finite symmetric inverse semigroups
Gracinda M. S. Gomes, John M Howie · Proceedings of the Edinburgh Mathematical Society · 1987
In semigroup theory as in other algebraic theories a significant part of the total effort is appropriately applied to the study of certain standard examples occurring, as it were, “in nature”. The most obvious such semigroup is the full transformation semigroup (X) (see [3]) and about this semigroup a great deal is known in both the finite and infinite cases.