Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2010, Number 1, Pages 47–54 (Mi basm248)  
Research articles

About rings of continuous functions in the expanded field of numbers

D. Ipate, R. Lupu

Transnistrean State University, Tiraspol, Moldova
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Abstract: In the present article the generalized rings $C_\infty(X)$ of all continuous functions on the expanded straight line are studied. The conditions under which $C_\infty(X)$ is a ring or a linear space are determined.
Keywords and phrases: ring, continuous function, $\chi$-sequential space, $\chi$-normal space, $P$-space, extremally disconnected space.
Received: 02.02.2009
Bibliographic databases:
Document Type: Article
MSC: 54C35, 54G05, 54G10
Language: English
Citation: D. Ipate, R. Lupu, “About rings of continuous functions in the expanded field of numbers”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2010, no. 1, 47–54
Citation in format AMSBIB
\Bibitem{IpaLup10}
\by D.~Ipate, R.~Lupu
\paper About rings of continuous functions in the expanded field of numbers
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2010
\issue 1
\pages 47--54
\mathnet{http://mi.mathnet.ru/basm248}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2676572}
\zmath{https://zbmath.org/?q=an:1205.54026}
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