On the Nilpotent Rank of Partial Transformation Semigroups

  • G. U. Garba

Abstract

Synopsis. In [7] Sullivan proved that the semigroup SPn of all strictly partial transformations on the set Xn = {1, ..., n} is nilpotent-generated if n is even, and that if n is odd the nilpotents in SPn generate SPn\Wn−1 where Wn−1 consists of all elements in [n− 1, n− 1] whose completions are odd permutations. We now show that whether n is even or odd… (More)

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