| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
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 832 1 |
| Ultima descărcare din IBN: 2019-02-02 18:52 |
| Căutarea după subiecte similare conform CZU |
| 512.556+512.6+512.7 (1) |
| Algebră (410) |
 SM ISO690:2012ARNAUTOV, Vladimir, ERMACOVA, Galina. Properties of finite unrefinable chains of ring topologies for nilpotent rings. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2018, vol. 86, nr. 1(86), pp. 67-75. ISSN 1024-7696. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
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| Volumul 86, Numărul 1(86) / 2018 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| CZU: 512.556+512.6+512.7 | ||||||
| MSC 2010: 22A05. | ||||||
| Pag. 67-75 | ||||||
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| Rezumat | ||||||
Let R be a nilpotent ring and let (M,<) be the lattice of all ring topologies or the lattice of all ring topologies in each of which the ring R possesses a basis of neighborhoods of zero consisting of subgroups. If _0 ≺M _1 ≺M . . . ≺M _n is an unrefinable chain of ring topologies from M and _ ∈ M, then k ≤ n for any chain sup{T, T0′ } = T1′ < T2 ′ < . . . < Tk′ k = sup{T, Tn} of topologies from M |
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| Cuvinte-cheie Topological rings, lattice of ring topologies, modular lattice, chain of topologies, unrefinable chain, nilpotent rings. |
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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>2018-07-01</dc:date>
<dc:description xml:lang='en'><p>Let R be a nilpotent ring and let (M,<) be the lattice of all ring topologies or the lattice of all ring topologies in each of which the ring R possesses a basis of neighborhoods of zero consisting of subgroups. If _0 ≺M _1 ≺M . . . ≺M _n is an unrefinable chain of ring topologies from M and _ ∈ M, then k ≤ n for any chain sup{T, T<sub>0</sub>′ } = T<sub>1</sub>′ < T<sub>2</sub> ′ < . . . < T<sub>k</sub>′ k = sup{T, T<sub>n</sub>} of topologies from M</p></dc:description>
<dc:source>Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 86 (1) 67-75</dc:source>
<dc:subject>Topological rings</dc:subject>
<dc:subject>lattice of ring topologies</dc:subject>
<dc:subject>modular lattice</dc:subject>
<dc:subject>chain of topologies</dc:subject>
<dc:subject>unrefinable chain</dc:subject>
<dc:subject>nilpotent rings.</dc:subject>
<dc:title>Properties of finite unrefinable chains of ring topologies for nilpotent rings</dc:title>
<dc:type>info:eu-repo/semantics/article</dc:type>
</oai_dc:dc>|
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