By Bashir Ali and others

Let *[n]=\{1,2,\ldots,n\}* be a finite chain and let *\mathcal{P}_{n}* be the semigroup of partial transformations on *[n]*. Let *\mathcal{CP}_{n}=\{\alpha\in \mathcal{P}_{n}: (for~all ~x,y\in Dom~\alpha)~|x\alpha-y\alpha|\leq|x-y|\}*, then *\mathcal{CP}_{n}* is a subsemigroup of *\mathcal{P}_{n}*. In this paper, we give a necessary and sufficient condition for an element in *\mathcal{P}_{n}* to be regular and characterize... Show more

March 6, 2018

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