There exist semigroups which have bi-bases with dierent cardinalities
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HEIDARI, Dariush. There exist semigroups which have bi-bases with dierent cardinalities. In: Quasigroups and Related Systems, 2018, vol. 26, nr. 1(39), pp. 77-78. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 26, Numărul 1(39) / 2018 / ISSN 1561-2848

There exist semigroups which have bi-bases with dierent cardinalities

CZU: 512.533+512.534
MSC 2010: 20M20

Pag. 77-78

Heidari Dariush
 
Institute of Higher Education Mahallat
 
 
Disponibil în IBN: 17 august 2018


Rezumat

Kummoon and Changphas in Quasigroups and Related Systems 25(2017), 87 - 94 state the following question: "Is it true that for any two bi-bases of a semigroup have the same cardinality?" In this paper, we provide a semigroup of order n for every n > 5 which has two bi-bases with different cardinalities that is shown the answer of question is negative.

Cuvinte-cheie
semigroup, bi-base