Eventually regular perfect semigroups
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2021-10-09 11:58
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512.53 (62)
Algebra (400)
SM ISO690:2012
GIGON, Roman. Eventually regular perfect semigroups. In: Quasigroups and Related Systems, 2015, vol. 23, nr. 2(34), pp. 231-236. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 23, Numărul 2(34) / 2015 / ISSN 1561-2848

Eventually regular perfect semigroups
CZU: 512.53

Pag. 231-236

Gigon Roman
 
University of Bielsko-Biala
 
 
Disponibil în IBN: 20 februarie 2017


Rezumat

A congruence _ on a semigroup S is called perfect if (a_)(b_) = (ab)_ for all a; b 2 S, as sets, and S is said to be perfect if each of its congruences is perfect. We show that all eventually regular perfect semigroups are necessarily regular. Finally, we apply our result to perfect groupbound semigroups.