Let X be an arbitrary poset. The semigroup I+(X) of all order-increasing partial one-one mappings of Xis shown to be an ample semigroup with some interesting properties. Moreover, a necessary and sufficient condition (on the totally ordered sets X and Y) for I+X) and I+(Y) to be isomorphic has been established.
|Number of pages||8|
|Journal||Arabian Journal for Science and Engineering|
|Issue number||2 A|
|Publication status||Published - Jul 2003|
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