Free products of paratopological groups (in Ukrainian) |
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| Author |
Ukrainian Academy of Printing
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| Abstract |
In the paper we prove existence of the free product for the arbitrary family of the paratopological groups. We consider topologically algebraic properties of free products. The free products of paratopological groups being topological groups are investigated.
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| Keywords |
free product, paratopological group, topological group
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| DOI |
doi:10.30970/ms.33.2.139-146
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Reference |
1. Граев М.И. О свободных произведениях топологических групп// Изв. АН СССР. Сер. матем.- 1950. - № 14. - С. 343-350.
2. Пирч Н.М. Рефлексії паратопологічних груп // Наукові записки. Українська академія друкарства. - 2007. - № 11. - C. 94-97. 3. Равський О.В. Тополого-алгебраїчні властивості паратопологічних груп, Дис. ... канд. фіз.-мат. наук : 01.01.06. - К.: 2004. - 140 с. 4. Morris S.A. Free products of topological groups // Bull. Austral. Math. Soc. - 1971. - №4. - P. 17-29. Corrigendum. Bull. Austral. Math. Soc. - 1975. - № 12. - P.480. 5. Morris S.A., Ordman E.T., Thompson H.B. The topology of free products of topological groups // Proc. Second Internat. Conf. Theory of Groups, Canberra, Springer Lecture Notes - 1973.- №372. - P. 220-227. 6. Morris S.A., Thompson H.B. Sequential conditions and free products of topological groups // Proc. Amer. Math. Soc. - 1988. - №103 - P. 633-638. 7. Pyrch N.M., Ravsky O.V. On free paratopological groups // Mat. Stud. - 2006. - V. 25, №2. - P. 115-125. |
| Pages |
139-146
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| Volume |
33
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| Issue |
2
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| Year |
2010
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |