Publicação
On the monoids of transformations that preserve the order and a uniform partition
| dc.contributor.author | Fernandes, Vítor H. | |
| dc.contributor.author | Quinteiro, Teresa Maria de Araújo Melo | |
| dc.date.accessioned | 2011-04-20T10:16:06Z | |
| dc.date.available | 2011-04-20T10:16:06Z | |
| dc.date.issued | 2009-07-29 | |
| dc.description | Communications in Algebra | en_US |
| dc.description.abstract | In this paper we consider the monoid O mxn of all order-preserving full transformations on a chain with mn elements that preserve a uniform m-partition and its submonoids O+ mxn and O− mxn of all extensive transformations and of all co-extensive transformations, respectively. We give formulas for the number of elements of these monoids and determine their ranks. Moreover, we construct a bilateral semidirect product decomposition of Omxn in terms of O− mxn and O+ mxn. | en_US |
| dc.identifier.issn | 0092-7872 | |
| dc.identifier.uri | http://hdl.handle.net/10362/5531 | |
| dc.language.iso | eng | en_US |
| dc.publisher | Taylor & Francis | en_US |
| dc.subject | order-preserving transformations | en_US |
| dc.subject | equivalence-preserving transformations | en_US |
| dc.title | On the monoids of transformations that preserve the order and a uniform partition | en_US |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| my.embargo.terms | null | en_US |
| rcaap.rights | openAccess | en_US |
| rcaap.type | article | en_US |