Geodesic
About rings of continuous functions in the expanded field of numbers
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2010), pp. 47-54

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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. 
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D. Ipate; R. Lupu. About rings of continuous functions in the expanded field of numbers. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2010), pp. 47-54. http://geodesic.mathdoc.fr/item/BASM_2010_1_a3/