About rings of continuous functions in the expanded field of numbers
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IPATE, Dumitru, LUPU, Raluca. About rings of continuous functions in the expanded field of numbers. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2010, nr. 1(62), pp. 47-54. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(62) / 2010 / ISSN 1024-7696 /ISSNe 2587-4322

About rings of continuous functions in the expanded field of numbers

Pag. 47-54

Ipate Dumitru, Lupu Raluca
 
Tiraspol State University
 
 
Disponibil în IBN: 8 decembrie 2013


Rezumat

In the present article the generalized rings C1(X) of all continuous functions on the expanded straight line are studied. The conditions under which C1(X) is a ring or a linear space are determined.

Cuvinte-cheie
Ring, P-space,

continuous function, X -sequential space, X -normal space