Special subgroups of regular semigroups
Date
03/10/2017Metadata
Show full item recordAbstract
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
ISSN
0092-7872Type
Journal article
Description
This work was partially supported by the Portuguese Foundation for Science and Technology through the grant UID/MAT/00297/2013 (CMA).Collections
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.