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Ultima descărcare din IBN: 2022-10-03 15:58 |
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SM ISO690:2012 HANSDA, Kalyan. Minimal bi-ideals in regular and completely regular ordered semigroups. In: Quasigroups and Related Systems, 2019, vol. 27, nr. 1(41), pp. 63-72. ISSN 1561-2848. |
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Quasigroups and Related Systems | ||||||
Volumul 27, Numărul 1(41) / 2019 / ISSN 1561-2848 | ||||||
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CZU: 512.552.5+512.556 | ||||||
MSC 2010: 20M10, 06F05. | ||||||
Pag. 63-72 | ||||||
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Here we characterize regular and completely regular ordered semigroups by their minimal bi-ideals. A minimal bi-ideal is expressed as a product of a minimal right ideal and a minimal left ideal. Furthermore, we show that every bi-ideal in a completely regular ordered semigroup is minimal and hence a regular ordered semigroup S is completely regular if and only if S is union its of minimal bi-ideals. |
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Cuvinte-cheie ordered semigroup, Regular, completely regular, bi-ideal, t-simple, ordered idempotents, bi-simple |
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