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Title: Semirings of Continuous (0,∞]-Valued Functions

Abstract

The semiring C{sup ∞}(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{sup ∞}(X) are considered. Properties of lattices of ideals and congruences of semirings C{sup ∞}(X) over the P-spaces X, the F-spaces X, and the finite discrete spaces are proved.

Authors:
;  [1]
  1. Vyatka State University (Russian Federation)
Publication Date:
OSTI Identifier:
22773914
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 233; Journal Issue: 1; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; FUNCTIONS; MATHEMATICAL SPACE; TOPOLOGY

Citation Formats

Vechtomov, E. M., E-mail: vecht@mail.ru, and Shalaginova, N. V., E-mail: korshunnv@mail.ru. Semirings of Continuous (0,∞]-Valued Functions. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3923-9.
Vechtomov, E. M., E-mail: vecht@mail.ru, & Shalaginova, N. V., E-mail: korshunnv@mail.ru. Semirings of Continuous (0,∞]-Valued Functions. United States. doi:10.1007/S10958-018-3923-9.
Vechtomov, E. M., E-mail: vecht@mail.ru, and Shalaginova, N. V., E-mail: korshunnv@mail.ru. Wed . "Semirings of Continuous (0,∞]-Valued Functions". United States. doi:10.1007/S10958-018-3923-9.
@article{osti_22773914,
title = {Semirings of Continuous (0,∞]-Valued Functions},
author = {Vechtomov, E. M., E-mail: vecht@mail.ru and Shalaginova, N. V., E-mail: korshunnv@mail.ru},
abstractNote = {The semiring C{sup ∞}(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{sup ∞}(X) are considered. Properties of lattices of ideals and congruences of semirings C{sup ∞}(X) over the P-spaces X, the F-spaces X, and the finite discrete spaces are proved.},
doi = {10.1007/S10958-018-3923-9},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 1,
volume = 233,
place = {United States},
year = {2018},
month = {8}
}