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Algebră (400) |
SM ISO690:2012 ARNAUTOV, 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. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
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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