Semigroups in which the radical of every interior ideal is a subsemigroup
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2024-04-13 17:42
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512.53+512.533.7 (3)
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JANTANAN, Wichayaporn, JUMNONGPHAN, Chinnawat, JAICHOT, Natthawut, CHINRAM, Ronnason. Semigroups in which the radical of every interior ideal is a subsemigroup. In: Quasigroups and Related Systems, 2023, vol. 31, nr. 1, pp. 65-74. ISSN 1561-2848. DOI: https://doi.org/10.56415/qrs.v31.05
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Quasigroups and Related Systems
Volumul 31, Numărul 1 / 2023 / ISSN 1561-2848

Semigroups in which the radical of every interior ideal is a subsemigroup

DOI:https://doi.org/10.56415/qrs.v31.05
CZU: 512.53+512.533.7
MSC 2010: 20M11, 20M12.

Pag. 65-74

Jantanan Wichayaporn1, Jumnongphan Chinnawat1, Jaichot Natthawut1, Chinram Ronnason2
 
1 Buriram Rajabhat University,
2 Prince of Songkla University
 
 
Disponibil în IBN: 13 august 2023


Rezumat

In this paper, we characterize when the radical p I of every interior ideal √ I of a semigroup S is a subsemigroup of S. Also, the radical of every interior ideal (or right ideal or left ideal or quasi-ideal or ideal or bi-ideal or subsemigroup) of S is an interior ideal (or a right ideal or a left ideal or a quasi-ideal or an ideal or a bi-ideal) of S.

Cuvinte-cheie
Radical, subsemigroups, interior ideals