On intra-regular and some left regular Gamma-semigroups
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Algebra (400)
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KEHAYOPULU, Niovi, TSINGELIS, Michael. On intra-regular and some left regular Gamma-semigroups. In: Quasigroups and Related Systems, 2015, vol. 23, nr. 2(34), pp. 263-270. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 23, Numărul 2(34) / 2015 / ISSN 1561-2848

On intra-regular and some left regular Gamma-semigroups
CZU: 512.53+512.568.2

Pag. 263-270

Kehayopulu Niovi1, Tsingelis Michael2
 
1 University of Athens,
2 Hellenic Open University
 
 
Disponibil în IBN: 6 mai 2016


Rezumat

We characterize the intra-regular Г-semigroups and the left regular Г-semigroups M in which xГM _ MГx for every x 2 M in terms of _lters and we prove, among others, that every intra-regular Г-semigroup is decomposable into simple components, and every Г-semigroup M for which xГM _ MГx is left regular, is decomposable into left simple components.