On bi-bases of a semigroup

Kummoon Pisit; Changphas Thawhat

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856

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2023-10-18 22:37

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512.53 (66)

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KUMMOON, Pisit, CHANGPHAS, Thawhat. On bi-bases of a semigroup. In: Quasigroups and Related Systems, 2017, vol. 25, nr. 1(37), pp. 87-94. ISSN 1561-2848.

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Quasigroups and Related Systems

Volumul 25, Numărul 1(37) / 2017 / ISSN 1561-2848

On bi-bases of a semigroup

CZU: 512.53

MSC 2010: 20M20

Pag. 87-94

Kummoon Pisit, Changphas Thawhat

Khon Kaen University

Disponibil în IBN: 15 august 2017

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Based on the results of bi-ideals generated by a non-empty subset of a semigroup S, we introduce the concept which is called bi-bases of the semigroup S. Using the quasi-order defined by the principal bi-ideals of S, we give a characterization when a non-empty subset of S is a bi-base of S.

Cuvinte-cheie
semigroup, two-sided ideal, bi-ideal, two-sided base, bi-base, quasi-order

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