Faculdade

Investigação

On the ranks of certain monoids of transformations that preserve a uniform partition

TítuloOn the ranks of certain monoids of transformations that preserve a uniform partition
Publication TypeUnpublished
Year of Publication2011
AuthorsFernandes VH, Quinteiro TM
Series TitlePreprint
Palavras-chaveequivalence-preserving transformations, order-preserving transformations, orientation-preserving transformations
AbstractThe purpose of this paper is to compute the ranks of the monoid ORmxn of all orientation-preserving or orientation-reversing full transformations on a chain with mn elements that preserve a uniform m-partition and of its submonoids OPmxn of all orientation-preserving transformations and ODmxn of all order-preserving or order-reversing full transformations. These three monoids are natural extensions of Omxn, the monoid of all order-preserving full transformations on a chain with mn elements that preserve a uniform m-partition. Moreover, we also determine the ranks of certain semigroups of orientation-preserving full transformations with restricted ranges.
URLhttp://www.dm.fct.unl.pt/sites/www.dm.fct.unl.pt/files/preprints/2011/2_11.pdf