Email this article Lattices of Subalgebras of Semirings of Continuous Nonnegative Functions with the Max-Plus
- Authors: Sidorov V.V.1
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Affiliations:
- Vyatka State University of Humanities
- Issue: Vol 221, No 3 (2017)
- Pages: 409-435
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238999
- DOI: https://doi.org/10.1007/s10958-017-3235-5
- ID: 238999
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Abstract
Isomorphisms φ of semirings C∨(X) of continuous nonnegative functions over an arbitrary Hewitt space X with the condition φ(ℝ+) = ℝ+ are characterized in this work. It is proved that any isomorphism of lattices of all subalgebras of semirings C∨ (X) and C∨ (Y) is induced by a unique isomorphism of semirings excepting the case of one- and two-point Tychonovization of spaces.
About the authors
V. V. Sidorov
Vyatka State University of Humanities
Author for correspondence.
Email: sedoy_vadim@mail.ru
Russian Federation, Kirov
