Semirings of Continuous (0,∞]-Valued Functions

Journal Article · Wed Aug 15 00:00:00 EDT 2018 · Journal of Mathematical Sciences

DOI:https://doi.org/10.1007/S10958-018-3923-9· OSTI ID:22773914

Vechtomov, E. M., E-mail: [e-mail]; Shalaginova, N. V., E-mail: [e-mail] ^[1]

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1. Vyatka State University (Russian Federation)

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.

• OSTI ID: 22773914
• Journal Information: Journal of Mathematical Sciences, Vol. 233, 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); ISSN 1072-3374
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
FUNCTIONS
MATHEMATICAL SPACE
TOPOLOGY