On the lattice of ideals of semirings of continuous partial real-valued functions
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VECHTOMOV, Evgenii, LUBYAGINA, Elena. On the lattice of ideals of semirings of continuous partial real-valued functions. In: Conference of Mathematical Society of the Republic of Moldova, 28 iunie - 2 iulie 2017, Chişinău. Chişinău: Centrul Editorial-Poligrafic al USM, 2017, 4, pp. 169-172. ISBN 978-9975-71-915-5.
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Conference of Mathematical Society of the Republic of Moldova
4, 2017
Conferința "Conference of Mathematical Society of the Republic of Moldova"
Chişinău, Moldova, 28 iunie - 2 iulie 2017

On the lattice of ideals of semirings of continuous partial real-valued functions

Pag. 169-172

Vechtomov Evgenii, Lubyagina Elena
 
Vyatka State University
 
 
Disponibil în IBN: 4 octombrie 2017


Rezumat

The work is devoted to the general theory of semirings of continuous functions. We consider semirings CP(X) of continuous partial functions on topological spaces X with values in the topological field R of real numbers. We study properties of the lattice IdCP(X) of all ideals of a semiring CP(X). It is proved that a T1-space X is determined by the lattice IdCP(X).

Cuvinte-cheie
Semiring, ideal, lattice,

T1-space, field of real numbers, continuous partial function, definability