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Presentations for some monoids of injective partial transformations on a finite chain.

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In this paper we calculate presentations for some natural monoids of transformations on a chain Xn = 1 < 2 < · · · < n . First we consider n [ n], the monoid of all full [partial] transformations on Xn that preserve or reverse the order. Two other monoids of partial transformations on Xn we look at are n and n—the elements of the first preserve the orientation and the elements of the second preserve or reverse the orientation.

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Communications in Algebra, 33 (2005), p. 587-604

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Monoid Order-preserving Orientation-preserving Presentation Transformation

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