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| Ultima descărcare din IBN: 2021-08-05 11:27 |
| Căutarea după subiecte similare conform CZU |
| 512.53+512.55 (3) |
| Algebră (410) |
 SM ISO690:2012SADHYA, Shauli, HANSDA, Kalyan. Characterizations of π -t-simple ordered semigroups by their ordered idempotents. In: Quasigroups and Related Systems, 2019, vol. 27, nr. 1(41), pp. 119-126. ISSN 1561-2848. |
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 Quasigroups and Related Systems |
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| Volumul 27, Numărul 1(41) / 2019 / ISSN 1561-2848 | ||||||
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| CZU: 512.53+512.55 | ||||||
| MSC 2010: 06F05, 20M10. | ||||||
| Pag. 119-126 | ||||||
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| Rezumat | ||||||
Here we extend the notion of -groups in semigroups without order to ordered semigroups. We call them π -t-simple ordered semigroups. Our approach allows one to see the relations between Archimedean (t-Archimedean) ordered semigroups and π -t-simple ordered semigroups. Furthermore we show that a completely π -regular ordered semigroup S such that for any a; b € S there exists an ordered idempotent e € S with the property that ab; brar 2 p H(e) for any r € N, is a complete semilattice of π -t-simple ordered semigroups and conversely |
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| Cuvinte-cheie Archimedean, completely π-regular, nil-extension, ordered idempotent, π-t-simple ordered semigroup. |
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