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Special subgroups of regular semigroups

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Blyth_2016_CiA_specialsubgroups_AAM.pdf (401.9Kb)
Date
03/10/2017
Author
Blyth, T. S.
Almeida Santos, M. H.
Keywords
Quasi-ideal
Regular semigroup
Special subgroup
QA Mathematics
T-NDAS
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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.
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
Publication
Communications in Algebra
Status
Peer reviewed
DOI
https://doi.org/10.1080/00927872.2016.1262385
ISSN
0092-7872
Type
Journal article
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/10.1080/00927872.2016.1262385
Description
This work was partially supported by the Portuguese Foundation for Science and Technology through the grant UID/MAT/00297/2013 (CMA).
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  • University of St Andrews Research
URI
http://hdl.handle.net/10023/12231

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