Semigroups in which the radical of every quasi-ideal is a subsemigroup
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SANBORISOOT, Jatuporn, CHANGPHAS, Thawhat. Semigroups in which the radical of every quasi-ideal is a subsemigroup. In: Quasigroups and Related Systems, 2020, vol. 28, nr. 2(44), pp. 301-308. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 28, Numărul 2(44) / 2020 / ISSN 1561-2848

Semigroups in which the radical of every quasi-ideal is a subsemigroup

CZU: 512.533+512.548+512.57

Pag. 301-308

Sanborisoot Jatuporn1, Changphas Thawhat2
 
1 Khon Kaen University,
2 Centre of Excellence in Mathematics, CHE
 
 
Disponibil în IBN: 21 ianuarie 2021


Rezumat

For a non-empty subset A of a semigroup S, √ A denotes the radical of A, i.e., √ A = {x ∈ S | x n ∈ A for some positive integer n}. This paper characterizes when the radical √ Q is a subsemigroup of S for every quasi-ideal Q of S.