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Special subgroups of regular semigroups

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dc.contributor.authorBlyth, T. S.
dc.contributor.authorAlmeida Santos, M. H.
dc.date.accessioned2017-12-02T00:31:58Z
dc.date.available2017-12-02T00:31:58Z
dc.date.issued2017-10-03
dc.identifier.citationBlyth , T S & Almeida Santos , M H 2017 , ' Special subgroups of regular semigroups ' , Communications in Algebra , vol. 45 , no. 10 , pp. 4246-4256 . https://doi.org/10.1080/00927872.2016.1262385en
dc.identifier.issn0092-7872
dc.identifier.otherPURE: 248131482
dc.identifier.otherPURE UUID: 4a29150f-0c10-45eb-b484-b726d8c2239f
dc.identifier.otherRIS: urn:44D00EA497F6A91A767E2B58D36BB8F7
dc.identifier.otherScopus: 85012067892
dc.identifier.otherWOS: 000400248000010
dc.identifier.urihttps://hdl.handle.net/10023/12231
dc.descriptionThis work was partially supported by the Portuguese Foundation for Science and Technology through the grant UID/MAT/00297/2013 (CMA).en
dc.description.abstractExtending the notions of inverse transversal and associate subgroup, we consider a regular semigroup S with the property that there exists a subsemigroup T which contains, for each x∈S, a unique y such that both xy and yx are idempotent. Such a subsemigroup is necessarily a group which we call a special subgroup. Here we investigate regular semigroups with this property. In particular, we determine when the subset of perfect elements is a subsemigroup and describe its structure in naturally arising situations.
dc.format.extent11
dc.language.isoeng
dc.relation.ispartofCommunications in Algebraen
dc.rights© 2017, Taylor & Francis. This work has been made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at www.tandfonline.com / http://dx.doi.org/10.1080/00927872.2016.1262385en
dc.subjectQuasi-idealen
dc.subjectRegular semigroupen
dc.subjectSpecial subgroupen
dc.subjectQA Mathematicsen
dc.subjectT-NDASen
dc.subject.lccQAen
dc.titleSpecial subgroups of regular semigroupsen
dc.typeJournal articleen
dc.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews. Applied Mathematicsen
dc.identifier.doihttps://doi.org/10.1080/00927872.2016.1262385
dc.description.statusPeer revieweden
dc.date.embargoedUntil2017-12-01


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