The rank of the endomorphism monoid of a uniform partition

The rank of a semigroup is the cardinality of a smallest generating set. In this paper we compute the rank of the endomorphism monoid of a non-trivial uniform partition of a finite set, that is, the semigroup of those transformations of a finite set that leave a non-trivial uniform partition invaria...

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Bibliographic Details
Main Author: Schneider, Csaba (author)
Other Authors: Araújo, João (author)
Format: article
Language:eng
Published: 2011
Subjects:
Online Access:http://hdl.handle.net/10400.2/1999
Country:Portugal
Oai:oai:repositorioaberto.uab.pt:10400.2/1999