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

Fernandes, Vítor H.; Quinteiro, Teresa

http://hdl.handle.net/10400.21/5139

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Authors

Fernandes, Vítor H.

Quinteiro, Teresa

Abstract(s)

In this paper we give formulas for the number of elements of the monoids ORm x n of all full transformations on it finite chain with tun elements that preserve it uniform m-partition and preserve or reverse the orientation and for its submonoids ODm x n of all order-preserving or order-reversing elements, OPm x n of all orientation-preserving elements, O-m x n of all order-preserving elements, O-m x n(+) of all extensive order-preserving elements and O-m x n(-) of all co-extensive order-preserving elements.

Keywords

Order-Preserving/Reversing Orientation-Preserving/Reversing Extensive Equivalence-Preserving Transformations Finite Chain Semidirect Products Greens Relations Semigroups Order Orientation Mappings Equivalence Idempotent Regularity

URI

http://hdl.handle.net/10400.21/5139

Citation

FERNANDES, V. H.; QUINTEIRO, T. M. – The cardinal of various monoids of transformations that preserve a uniform partition. Bulletin of the Malaysian Mathematical Sciences Society. ISSN: 0126-6705. Vol. 35, nr. 4 (2012), pp. 885-896