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The structure of superabundant semigroups
- Source :
- Science in China Series A. 47:756
- Publication Year :
- 2004
- Publisher :
- Science China Press., Co. Ltd., 2004.
-
Abstract
- A structure theorem for superabundant semigroups in terms of semilattices of normalized Rees matrix semigroups over some cancellative monoids is obtained. This result not only provides a construction method for superabundant semigroups but also generalizes the well-known result of Petrich on completely regular semigroups. Some results obtained by Fountain on abundant semigroups are also extended and strengthened.
Details
- ISSN :
- 10069283
- Volume :
- 47
- Database :
- OpenAIRE
- Journal :
- Science in China Series A
- Accession number :
- edsair.doi...........8ea4e82a751354253a68cffa65359bf8