Lattice of all topologies of countable module
over countable rings

Arnautov Vladimir; Ermacova Galina

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937

Ultima descărcare din IBN:
2017-01-06 08:19

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similare conform CZU

512.55+517.986 (2)

Algebră (410)

Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (243)

SM ISO690:2012

ARNAUTOV, Vladimir, ERMACOVA, Galina. Lattice of all topologies of countable module over countable rings. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2016, nr. 2(81), pp. 63-70. ISSN 1024-7696.

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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica

Numărul 2(81) / 2016 / ISSN 1024-7696 /ISSNe 2587-4322

Lattice of all topologies of countable module over countable rings

CZU: 512.55+517.986

Pag. 63-70

Arnautov Vladimir¹, Ermacova Galina²

¹ Institute of Mathematics and Computer Science ASM,
² T.G. Shevchenko State University of Pridnestrovie, Tiraspol

Proiecte:

INTAS Marker-assisted breeding of new seedless grapevine varieties with resistance to stressful environmental conditions

Disponibil în IBN: 28 octombrie 2016

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Rezumat

For any countable ring R with discrete topology τ 0 and any countable R-module M the lattice of all (R, τ 0)-module topologies contains: – A sublattice which is isomorphic to the lattice of all real numbers with the usual order; – Two to the power of continuum (R, τ 0)-module topologies each of which is a coatom.

Cuvinte-cheie
Countable ring, countable module, ring topology, topologies of modules, number of topologies of module, the lattice of all topologies of module, coatoms on lattice,

Hausdorff topology, basis of the filter of neighborhoods