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The cardinal of various monoids of transformations that preserve a uniform partition

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In this paper we give formulas for the number of elements of the monoids OR mxn of all full transformations on a nite chain with mn elements that preserve a uniform m-partition and preserve or reverse the orientation and for its submonoids OD mxn of all order-preserving or order-reversing elements, OP mxn of all orientation- preserving elements, O mxn of all order-preserving elements, O+ mxn of all extensive order-preserving elements and O- mxn of all co-extensive order-preserving elements.

Descrição

Bulletin of the Malaysian Mathematical Sciences Society

Palavras-chave

Order-preserving/reversing Orientation-preserving/reversing Extensive Equivalence-preserving Transformations

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School of Mathematical Sciences

Licença CC