Journal of Mathematical Sciences

, 177:817 | Cite as

Isomorphisms of lattices of subalgebras of semirings of continuous nonnegative functions

Article
First Online:

Abstract

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.

Keywords

Topological Space Constant Term Canonical Isomorphism Lattice Isomorphism Continuous Nonnegative Function 
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Copyright information

© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  1. 1.Vyatka State University of HumanitiesVyatkaRussia

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