Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/7449

TitleF-regular semigroups
Author(s)Smith, M. Paula Marques
Giraldes, E.
Mitsch, H.
KeywordsGroup-congruence
Congruence-class
Regular semigroup
Natural partial order
Issue date2004
PublisherElsevier
JournalJournal of Algebra
Citation"Journal of Algebra". ISSN 0021- 8693. 247:2 (2004) 491-510.
Abstract(s)A semigroup S is called F-regular if S is regular and if there exists a group congruence rho on S such that every rho-class contains a greatest element with respect to the natural partial order of S (see [K.S. Nambooripad, Proc. Edinburgh Math. Soc. 23 (1980) 249-260]). These semigroups were investigated in [C.C. Edwards, Semigroup Forum 19 (1980) 331-345] where a description similar to the F-inverse case (see [R. McFadden, L. O'Carroll, Proc. London Math. Soc. 22 (1971) 652-666]) is given. Further characterizations of F-regular semigroups, including an axiomatic one, are provided. The main objective is to give a new representation of such semigroups by means of Szendrei triples (see [M. Szendrei, Acta Sci. Math. 51 (1987) 229-249]). The particular case of F-regular semigroups S satisfying the identity (xy)* = y*x*, where x* epsilon S denotes the greatest element of the rho-class containing x epsilon S, is considered. Also the F-inversive semigroups, for which this identity holds, are characterized. (C) 2004 Elsevier Inc. All rights reserved.
TypeArticle
URIhttp://hdl.handle.net/1822/7449
DOI10.1016/j.jalgebra.2003.09.050
ISSN0021- 8693
Publisher versionhttp://www.sciencedirect.com/science?_ob= ArticleURL&_udi=B6WH2-4BP3JHP-1&_user= 10&_coverDate=04%2F15%2F2004&_alid= 664478190&_rdoc=1&_fmt=summary&_orig= search&_cdi=6838&_sort=d&_docanchor= &view=c&_ct=1&_acct=C000050221&_version= 1&_urlVersion=0&_userid=10&md5= b96ebda0467adad139ba92827e53789a
Peer-Reviewedyes
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

Files in This Item:
File Description SizeFormat 
f-regular.pdf173,28 kBAdobe PDFView/Open

Partilhe no FacebookPartilhe no TwitterPartilhe no DeliciousPartilhe no LinkedInPartilhe no DiggAdicionar ao Google BookmarksPartilhe no MySpacePartilhe no Orkut
Exporte no formato BibTex mendeley Exporte no formato Endnote Adicione ao seu ORCID