| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
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 678 5 |
| Ultima descărcare din IBN: 2020-12-02 17:30 |
| Căutarea după subiecte similare conform CZU |
| 515.12+515.14 (3) |
| Topologie (42) |
 SM ISO690:2012ARNAUTOV, Vladimir, ERMAKOVA, G.. On the number of topologies on countable skew fields. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2020, nr. 1(92), pp. 63-74. 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(92) / 2020 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| CZU: 515.12+515.14 | ||||||
| MSC 2010: 22A05. | ||||||
| Pag. 63-74 | ||||||
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| Rezumat | ||||||
If a countable skew field R admits a non-discrete metrizable topology 0, then the lattice of all topologies of this skew fields admits: – Continuum of non-discrete metrizable topologies of the skew fields stronger than the topology 0 and such that sup{ 1, 2} is the discrete topology for any different topologies 1 and 2; – Continuum of non-discrete metrizable topologies of the skew fields stronger than 0 and such that any two of these topologies are comparable; – Two to the power of continuum of topologies of the skew fields stronger than 0, each of them is a coatom in the lattice of all topologies of the skew fields. |
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| Cuvinte-cheie Countable skew fields, topological skew fields, Hausdorff topology, basis of the filter of neighborhoods, number of topologies on countable skew fields, lattice of topologies on skew fields |
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