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| Ultima descărcare din IBN: 2021-08-05 11:27 |
| Căutarea după subiecte similare conform CZU |
| 512.53+512.55 (3) |
| Algebra (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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Dublin Core Export
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Sadhya, S.</dc:creator> <dc:creator>Hansda, K.</dc:creator> <dc:date>2019-07-01</dc:date> <dc:description xml:lang='en'><p>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</p></dc:description> <dc:source>Quasigroups and Related Systems 41 (1) 119-126</dc:source> <dc:subject>Archimedean</dc:subject> <dc:subject>completely π-regular</dc:subject> <dc:subject>nil-extension</dc:subject> <dc:subject>ordered idempotent</dc:subject> <dc:subject>π-t-simple ordered semigroup.</dc:subject> <dc:title>Characterizations of π -t-simple ordered semigroups by their ordered idempotents</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
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