Email this article Semirings of Continuous (0,∞]-Valued Functions
- Authors: Vechtomov E.M.1, Shalaginova N.V.1
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Affiliations:
- Vyatka State University
- Issue: Vol 233, No 1 (2018)
- Pages: 28-41
- Section: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/241514
- DOI: https://doi.org/10.1007/s10958-018-3923-9
- ID: 241514
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Abstract
The semiring C∞(X) of all continuous functions on an arbitrary topological space X with values in the topological semiring (0,∞] is studied. General properties of semirings C∞(X) are considered. Properties of lattices of ideals and congruences of semirings C∞(X) over the P-spaces X, the F-spaces X, and the finite discrete spaces are proved.
About the authors
E. M. Vechtomov
Vyatka State University
Author for correspondence.
Email: vecht@mail.ru
Russian Federation, Vyatka
N. V. Shalaginova
Vyatka State University
Email: vecht@mail.ru
Russian Federation, Vyatka
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