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On ordered regular semigroups with biggest inverses
- Source :
- Semigroup Forum. 54:154-165
- Publication Year :
- 1997
- Publisher :
- Springer Science and Business Media LLC, 1997.
-
Abstract
- We consider an ordered regular semigroupS in which every elementx has a biggest inversexo and Green’s relations ℒ, ℜ are weakly regular. We show that ife, f are idempotents ofS such thate ≤f, then the subsemigroup 〈e, f, eo, fo〉 is a principally ordered band with at most 24 elements. We give a complete description of this band and show how it simplifies in natural special cases.
Details
- ISSN :
- 14322137 and 00371912
- Volume :
- 54
- Database :
- OpenAIRE
- Journal :
- Semigroup Forum
- Accession number :
- edsair.doi...........2520e07d9d5aa32f3b3c51ec39998d9c
- Full Text :
- https://doi.org/10.1007/bf02676598