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 833 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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<creatorName>Ermacova, G.N.</creatorName>
<affiliation>Universitatea de Stat din Tiraspol, Moldova, Republica</affiliation>
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<titles>
<title xml:lang='en'>Properties of finite unrefinable chains of ring topologies for nilpotent rings</title>
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<publicationYear>2018</publicationYear>
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<subject>Topological rings</subject>
<subject>lattice of ring topologies</subject>
<subject>modular lattice</subject>
<subject>chain of topologies</subject>
<subject>unrefinable chain</subject>
<subject>nilpotent rings.</subject>
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<description xml:lang='en' descriptionType='Abstract'><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></description>
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