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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2011, Issue 2, Pages 12–18 (Mi vuu214)  
This article is cited in 3 scientific papers (total in 3 papers)

MATHEMATICS

About prime ideals in semirings of continuous function with values in unit segment

E. M. Vechtomov, E. N. Lubiagina

Vyatka State University of Humanities, Kirov, Russia
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Abstract: The properties of the prime ideals in semirings of the continuous functions on topological spaces with values in [0,1] are researches. Maximal ideals of the semirings of continuous [0,1]-valued functions are described. The characterizations of the compacts are received in terms of semiring of the functions. It is shown that the theory of ideals in considered semirings differs from the case of rings of continuous functions.
Keywords: semiring, unit interval, compact, semiring of the continuous functions, prime ideal of the semiring.
Received: 20.05.2011
Document Type: Article
UDC: 512.566
MSC: 16Y60, 12K10
Language: Russian
Citation: E. M. Vechtomov, E. N. Lubiagina, “About prime ideals in semirings of continuous function with values in unit segment”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 2, 12–18
Citation in format AMSBIB
\Bibitem{VecLub11}
\by E.~M.~Vechtomov, E.~N.~Lubiagina
\paper About prime ideals in semirings of continuous function with values in unit segment
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2011
\issue 2
\pages 12--18
\mathnet{http://mi.mathnet.ru/vuu214}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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