Isomorphisms of lattices of subalgebras of semirings of continuous nonnegative functions

被引：0

作者：

Vechtomov E.M. ^{[1
]}

Sidorov V.V. ^{[1
]}

机构：

[1] Vyatka State University of Humanities, Vyatka

来源：

Journal of Mathematical Sciences | 2011年 / 177卷 / 6期

关键词：

Topological Space; Constant Term; Canonical Isomorphism; Lattice Isomorphism; Continuous Nonnegative Function;

D O I：

10.1007/s10958-011-0511-7

中图分类号：

学科分类号：

摘要：

In this work, lattice isomorphisms of semirings C+(X) of continuous nonnegative functions over an arbitrary topological space X are characterized. It is proved that any isomorphism of lattices of all subalgebras with a unit of semirings C+(X) and C+(Y) is induced by a unique isomorphism of semirings. The same result is also correct for lattices of all subalgebras excepting the case of two-point Tychonovization of spaces. © 2011 Springer Science+Business Media, Inc.

引用

页码：817 / 846

页数：29

共 16 条

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