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Comment on the paper of J. Mills: 'certain congruences on orthodox semigroups'
- Source :
- Studia Scientiarum Mathematicarum Hungarica. 50:406-412
- Publication Year :
- 2013
- Publisher :
- Akademiai Kiado Zrt., 2013.
-
Abstract
- In the paper we give some remarks on the article of Janet Mills. In particular, the proof of Lemma 1.2 (in her work) is incorrect, and so the proof of Theorem 3.5 is not valid, too. Using different methods we show the mentioned theorem. Moreover, we find a new equivalent condition to the statements in Theorem 3.5. In particular, an explicit definition of a new class of orthodox semigroups is introduced.
Details
- ISSN :
- 15882896 and 00816906
- Volume :
- 50
- Database :
- OpenAIRE
- Journal :
- Studia Scientiarum Mathematicarum Hungarica
- Accession number :
- edsair.doi...........20154fd359d45049f61e7703fc1ec8d6