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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2016, Volume 16, Issue 4, Pages 422–424
DOI: https://doi.org/10.18500/1816-9791-2016-16-4-422-424 (Mi isu691) 		 
Scientific Part
Mathematics

On a quotient topology in topological semigroups and groups

S. R. Sultanov

Ryazan State University, 46, Svobody str., Ryazan, Russia
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DOI: https://doi.org/10.18500/1816-9791-2016-16-4-422-424
Abstract: The paper discusses the definution of the topological factor semigrop using the open congruence relations on this topological semigroup. Based on this approach, a description of all open gomomorfic images of topological semigroup is obtained. Similarly, this approach is used to describe all open homomorphic images of a topological group.
Key words: topological factor semigroup, homomorphisms of topological semigroup, topological factor group.
Bibliographic databases:
Document Type: Article
UDC: 512.546
Language: Russian
Citation: S. R. Sultanov, “On a quotient topology in topological semigroups and groups”, Izv. Saratov Univ. Math. Mech. Inform., 16:4 (2016), 422–424
Citation in format AMSBIB
\Bibitem{Sul16}
\by S.~R.~Sultanov
\paper On a quotient topology in topological semigroups and groups
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2016
\vol 16
\issue 4
\pages 422--424
\mathnet{http://mi.mathnet.ru/isu691}
\crossref{https://doi.org/10.18500/1816-9791-2016-16-4-422-424}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3584326}
\elib{https://elibrary.ru/item.asp?id=27675055}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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