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| Ultima descărcare din IBN: 2024-04-28 00:15 |
| Căutarea după subiecte similare conform CZU |
| 515.1 (44) |
| Topologie (43) |
 SM ISO690:2012ARNAUTOV, Vladimir, ERMACOVA, Galina. On the number of ring topologies on countable rings. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2015, nr. 1(77), pp. 103-114. ISSN 1024-7696. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
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| Numărul 1(77) / 2015 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| CZU: 515.1 | ||||||
| Pag. 103-114 | ||||||
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 Descarcă PDF |
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| Rezumat | ||||||
For any countable ring R and any non-discrete metrizable ring topology
0, the lattice of all ring topologies admits:
– Continuum of non-discrete metrizable ring topologies stronger than the given topo-
logy 0 and such that sup{ 1, 2} is the discrete topology for any different topologies;
– Continuum of non-discrete metrizable ring topologies stronger than 0 and such that
any two of these topologies are comparable;
– Two to the power of continuum of ring topologies stronger than 0, each of them
being a coatom in the lattice of all ring topologies. |
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| Cuvinte-cheie Countable ring, ring topology, number of ring topologies, Stone- ˇ Cech compacification., Hausdorff topology, basis of the filter of neighborhoods, lattice of ring topologies |
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Dublin Core Export
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<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>Arnautov, V.I.</dc:creator>
<dc:creator>Ermacova, G.N.</dc:creator>
<dc:date>2015-02-05</dc:date>
<dc:description xml:lang='en'>For any countable ring R and any non-discrete metrizable ring topology
0, the lattice of all ring topologies admits:
– Continuum of non-discrete metrizable ring topologies stronger than the given topo-
logy 0 and such that sup{ 1, 2} is the discrete topology for any different topologies;
– Continuum of non-discrete metrizable ring topologies stronger than 0 and such that
any two of these topologies are comparable;
– Two to the power of continuum of ring topologies stronger than 0, each of them
being a coatom in the lattice of all ring topologies.</dc:description>
<dc:source>Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 77 (1) 103-114</dc:source>
<dc:subject>Countable ring</dc:subject>
<dc:subject>ring topology</dc:subject>
<dc:subject>Hausdorff topology</dc:subject>
<dc:subject>basis of the filter of neighborhoods</dc:subject>
<dc:subject>number of ring topologies</dc:subject>
<dc:subject>lattice of ring topologies</dc:subject>
<dc:subject>Stone- ˇ Cech compacification.</dc:subject>
<dc:title>On the number of ring topologies on countable rings</dc:title>
<dc:type>info:eu-repo/semantics/article</dc:type>
</oai_dc:dc>|
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