To the Theory of Partial Semirings of Continuous [0, infinity]-Valued Functions

被引：2
|
作者：
Shalaginova, N. V. [1 ]
Vechtomov, E. M. [1 ]
机构：
[1] Vyatka State Univ Humanities, Krasnoarmeiskaya ul 26, Kirov 610002, Russia
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2015年 / 36卷 / 04期
关键词：
partial semiring; continuous; 0; infinity]-valued function; maximal ideal; prime ideal;
D O I：
10.1134/S1995080215040150
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of the paper is to investigate the partial semiring C-infinity(+) (X) of all continuous functions on a topological space X that take values in the semiring [0, infinity] with the usual topology. Maximal ideals of the partial semiring C-infinity(+) (X) are studied, and fundamental properties of its prime ideals are described.
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页码：341 / 348
页数：8
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