On bi-bases of a semigroup
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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


Rezumat

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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<dc:creator>Kummoon, P.</dc:creator>
<dc:creator>Changphas, T.</dc:creator>
<dc:date>2017-06-28</dc:date>
<dc:description xml:lang='en'>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. </dc:description>
<dc:source>Quasigroups and Related Systems 37 (1) 87-94</dc:source>
<dc:subject>semigroup</dc:subject>
<dc:subject>two-sided ideal</dc:subject>
<dc:subject>bi-ideal</dc:subject>
<dc:subject>two-sided base</dc:subject>
<dc:subject>bi-base</dc:subject>
<dc:subject>quasi-order</dc:subject>
<dc:title>On bi-bases of a semigroup</dc:title>
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