On the Rank of the Semigroup POI_(n,r)

Teng We · Journal of Changshu Institute of Technology · 2014

Let Xn={1,2,…,n}(n 3)be natural order set. POInbe of all injective order-preserving partial transformation semigroup onXn. We introduced a new class subsemigroups POIn,rof semigroup POIn. The generated rank of the semigroup POIn,rwas characterized. The theorem is an extension of corresponding conclusions for other relevant literature.

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