On Nonpermutational Transformation Semigroups with an Application to Syntactic Complexity

@article{Ivn2016OnNT,
  title={On Nonpermutational Transformation Semigroups with an Application to Syntactic Complexity},
  author={Szabolcs Iv{\'a}n and Judit Nagy-Gy{\"o}rgy},
  journal={Acta Cybern.},
  year={2016},
  volume={22},
  pages={687-701}
}
We give an upper bound of nn-1!-n-3! for the possible largestsize of a subsemigroup of the full transformational semigroup overn elements consisting only of nonpermutational transformations.As an application we gain the same upper bound for the syntacticcomplexity of generalized definite languages as well. 

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