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Fixed points of order-preserving transformations

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Let ????????n be the semigroup of order-preserving partial transformations on an n-chain. We establish several results for the number F(n,m) of elements of ????????n with m fixed points, including recurrence… Click to show full abstract

Let ????????n be the semigroup of order-preserving partial transformations on an n-chain. We establish several results for the number F(n,m) of elements of ????????n with m fixed points, including recurrence r...

Keywords: order preserving; fixed points; points order; preserving transformations

Journal Title: Journal of Algebra and Its Applications
Year Published: 2021

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