Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/11153

TitleA congruence-free semigroup associated with an infinite cardinal number
Author(s)Smith, M. Paula Marques
KeywordsCongruence-free
Infinite cardinal
Transformations
Idempotent-generated
Issue date1983
PublisherCambridge University Press
JournalProceedings of the Royal Society of Edinburgh
Citation"Proceedings of the Royal Society of Edinburgh". ISSN 0308-2105. 93A (1983) 245-257.
Abstract(s)Let X be a set with infinite cardinality m and let Qm be the semigroup of balanced elements in T (X ), as described by Howie. If I is the ideal {α ∈ Qm : |X α| < m} then the Rees factor Pm = Qm/I is 0 −bisimple and idempotent-generated. Its minimum non-trivial homomorphic image P∗m has both these properties and is congruence-free. Moreover, P∗m has depth 4, in the sense that [E(P∗m)]4 = P∗m and [E(P∗m )]3 ≠ P∗m.
TypeArticle
URIhttp://hdl.handle.net/1822/11153
ISSN0308-2105
Peer-Reviewedyes
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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