Conţinutul numărului revistei |
Articolul precedent |
Articolul urmator |
749 0 |
SM ISO690:2012 ARNAUTOV, Vladimir. Properties of final unrefinable chains of groups topologies. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2010, nr. 2(63), pp. 3-19. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 2(63) / 2010 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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Pag. 3-19 | ||||||
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Rezumat | ||||||
Let G be a nilpotent group and (M,<) be the lattice of all group topologies or the lattice of all group topologies in each of which the group G possesses a basis of neighborhood of unit consisting of subgroups. If and ′ are group topologies
from M such that = 0 ≺M 1 ≺M . . . ≺M n = ′, then k ≤ n for any chain = ′ 0 < ′ 1 < . . . < ′ k = ′ of topologies from M. |
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Cuvinte-cheie Topological groups, modular lattice, lattice of group topologies, chain of topologies, unrefinable chain |
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