File(s) under permanent embargo
A structure preserving embedding of semigroups into regular semigroups
journal contribution
posted on 2023-05-17, 01:29 authored by Trotter, PGFor any semigroup S a regular semigroup C(S) that embeds S can be constructed as the direct limit of a sequence of semigroups each of which contains a copy of its predecessor as a subsemigroup whose elements are regular. The construction is modified here to obtain an embedding of S into a regular semigroup R such that the nontrivial maximal subgroups of R are isomorphic to the Schtzenberger groups of S and such that the restriction to S of any of Green's relations on R is the corresponding Green's relation on S.
History
Publication title
Communications in AlgebraVolume
37Issue
8Pagination
2920-2932ISSN
0092-7872Department/School
School of Natural SciencesPublisher
Taylor & Francis IncPlace of publication
Philadelphia, USARights statement
The definitive published version is available online at: http://www.tandf.co.uk/journalsRepository Status
- Restricted