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Special subgroups of regular semigroups
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dc.contributor.author | Blyth, T. S. | |
dc.contributor.author | Almeida Santos, M. H. | |
dc.date.accessioned | 2017-12-02T00:31:58Z | |
dc.date.available | 2017-12-02T00:31:58Z | |
dc.date.issued | 2017-10-03 | |
dc.identifier | 248131482 | |
dc.identifier | 4a29150f-0c10-45eb-b484-b726d8c2239f | |
dc.identifier | 85012067892 | |
dc.identifier | 000400248000010 | |
dc.identifier.citation | Blyth , 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/10.1080/00927872.2016.1262385 | en |
dc.identifier.issn | 0092-7872 | |
dc.identifier.other | RIS: urn:44D00EA497F6A91A767E2B58D36BB8F7 | |
dc.identifier.uri | https://hdl.handle.net/10023/12231 | |
dc.description | This work was partially supported by the Portuguese Foundation for Science and Technology through the grant UID/MAT/00297/2013 (CMA). | en |
dc.description.abstract | Extending 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.extent | 11 | |
dc.format.extent | 411586 | |
dc.language.iso | eng | |
dc.relation.ispartof | Communications in Algebra | en |
dc.subject | Quasi-ideal | en |
dc.subject | Regular semigroup | en |
dc.subject | Special subgroup | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QA | en |
dc.title | Special subgroups of regular semigroups | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Applied Mathematics | en |
dc.identifier.doi | https://doi.org/10.1080/00927872.2016.1262385 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2017-12-01 |
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