Extension of congruences on semirings of continuous functions

被引：0

作者：

E. M. Vechtomov

D. V. Chuprakov

机构：

[1] Vyatka State Humanitarian University,

来源：

Mathematical Notes | 2009年 / 85卷

关键词：

semiring of continuous nonnegative functions; semifield of continuous positive functions; idempotent semiring (semifield); lattice of congruences;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The lattices of congruences of semirings and semifields of continuous nonnegative functions over an arbitrary topological space are studied. It is proved that congruences of the semifield of continuous positive functions can be extended to congruences of the semiring of continuous nonnegative functions.

引用

页码：767 / 779

页数：12