| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
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 786 1 |
| Ultima descărcare din IBN: 2017-11-20 13:48 |
| Căutarea după subiecte similare conform CZU |
| 512.556+512.56 (1) |
| Algebra (410) |
 SM ISO690:2012ARNAUTOV, Vladimir, ERMACOVA, Galina. Unrefinable chains when taking the infimum in the lattice of ring topologies for a nilpotent ring. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, nr. 2(84), pp. 71-76. 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 2(84) / 2017 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| CZU: 512.556+512.56 | ||||||
| MSC 2010: 22A05, 06B30, 22A30 | ||||||
| Pag. 71-76 | ||||||
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| Rezumat | ||||||
A nilpotent ring b R and two ring topologies b _ ′′ and b _∗ on b R are constructed such that b _∗ is a coatom (i.e. between the discrete topology _d and b _∗ there no exists ring topologies) and such that between inf{ b _ ′′, b _d} and inf{ b _ ′′, b _∗} there exists an infinite chain of ring topologies in the lattice of all ring topologies of the ring b R . |
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| Cuvinte-cheie nilpotent ring, ring topology, unrefinable chains, coatoms, infimum of ring topologies, lattice of ring topologies |
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<creatorName>Ermacova, G.N.</creatorName>
<affiliation>Universitatea din Tiraspol „T.G. Şevcenko” , Moldova, Republica</affiliation>
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<title xml:lang='en'>Unrefinable chains when taking the infimum in the lattice of ring topologies for a nilpotent ring</title>
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<publicationYear>2017</publicationYear>
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<subject>nilpotent ring</subject>
<subject>ring topology</subject>
<subject>lattice of ring topologies</subject>
<subject>unrefinable chains</subject>
<subject>coatoms</subject>
<subject>infimum of ring topologies</subject>
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<description xml:lang='en' descriptionType='Abstract'><p>A nilpotent ring b R and two ring topologies b _ ′′ and b _∗ on b R are constructed such that b _∗ is a coatom (i.e. between the discrete topology _d and b _∗ there no exists ring topologies) and such that between inf{ b _ ′′, b _d} and inf{ b _ ′′, b _∗} there exists an infinite chain of ring topologies in the lattice of all ring topologies of the ring b R .</p></description>
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