| Conţinutul numărului revistei |
| Articolul precedent |
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 SM ISO690:2012CHOBAN, Mitrofan, CHIRIAC, Liubomir. On free groups in classes of groups with topologies. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2013, nr. 2-3(73), pp. 61-79. 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 2-3(73) / 2013 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 61-79 | ||||||
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| Rezumat | ||||||
We study properties of free groups in distinct classes of groups with topologies. The conditions under which the quasi-metric on the space of generators X is extended to an invariant quasi-metric on a free group F(X, V) in the fixed quasi-variety V of groups with topologies are given. This result is applied to the study:
– of free paratopological groups;
– of free quasitopological groups;
– of free semitopological groups;
– of free left topological groups. |
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| Cuvinte-cheie Paratopological group, semitopological group, qusitopo-logical group, quasi-variety of groups with topologies, quasi-metric |
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