Articolul precedent |
Articolul urmator |
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SM ISO690:2012 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 |
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Conferința "Conference of Mathematical Society of the Republic of Moldova" Chişinău, Moldova, 28 iunie - 2 iulie 2017 | ||||||
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Pag. 169-172 | ||||||
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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). |
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Cuvinte-cheie Semiring, ideal, lattice, T1-space, field of real numbers, continuous partial function, definability |
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