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| Ultima descărcare din IBN: 2021-01-19 14:54 |
| Căutarea după subiecte similare conform CZU |
| 512.548+512.568.2 (1) |
| Algebră (413) |
 SM ISO690:2012KEHAYOPULU, Niovi. On intra-regular ordered hypersemigroups. In: Quasigroups and Related Systems, 2018, vol. 26, nr. 2(40), pp. 239-246. ISSN 1561-2848. |
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 Quasigroups and Related Systems |
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| Volumul 26, Numărul 2(40) / 2018 / ISSN 1561-2848 | ||||||
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| CZU: 512.548+512.568.2 | ||||||
| MSC 2010: 06F99. | ||||||
| Pag. 239-246 | ||||||
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| Rezumat | ||||||
We present a structure theorem referring to the decomposition of ordered hypersemi- groups into simple components. For an intra-regular ordered hypersemigroup H, the very simple form of its principal lters leads to a characterization of H as a semilattice of simple hypersemi- groups; that is as an ordered hypersemigroup for which there exists a semilattice congruence such that (x) is a simple subhypersemigroup of H for every x 2 H. This is equivalent to saying that H is a union of simple subhypersemigroups of H. In addition, an ordered hyper- semigroup H is intra-regular and the hyperideals of H form a chain if and only if it is a chain of simple hypersemigroups. On this occasion, some further results related to intra-regular ordered hypersemigroups have been also given. |
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| Cuvinte-cheie Ordered hypersemigroup, semilattice (complete semilattice) congruence, intra-regular, semilattice of simple hypersemigroups, prime, simple. |
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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>Kehayopulu, N.</dc:creator> <dc:date>2018-12-31</dc:date> <dc:description xml:lang='en'><p>We present a structure theorem referring to the decomposition of ordered hypersemi- groups into simple components. For an intra-regular ordered hypersemigroup H, the very simple form of its principal lters leads to a characterization of H as a semilattice of simple hypersemi- groups; that is as an ordered hypersemigroup for which there exists a semilattice congruence such that (x) is a simple subhypersemigroup of H for every x 2 H. This is equivalent to saying that H is a union of simple subhypersemigroups of H. In addition, an ordered hyper- semigroup H is intra-regular and the hyperideals of H form a chain if and only if it is a chain of simple hypersemigroups. On this occasion, some further results related to intra-regular ordered hypersemigroups have been also given.</p></dc:description> <dc:source>Quasigroups and Related Systems 40 (2) 239-246</dc:source> <dc:subject>Ordered hypersemigroup</dc:subject> <dc:subject>semilattice (complete semilattice) congruence</dc:subject> <dc:subject>intra-regular</dc:subject> <dc:subject>semilattice of simple hypersemigroups</dc:subject> <dc:subject>prime</dc:subject> <dc:subject>simple.</dc:subject> <dc:title>On intra-regular ordered hypersemigroups</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
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