Determinability of Hewitt spaces by the lattices of subalgebras with unit of semifields of continuous positive functions with MAX-plus

DOI10.1134/S1995080217040199zbMath1379.54016OpenAlexW2734724197MaRDI QIDQ2404815

V. V. Sidorov

Publication date: 20 September 2017

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080217040199

zbMATH Keywords

Hewitt spacesemifield of continuous functionslattice of algebras

Mathematics Subject Classification ID

Special maps on metric spaces (54E40) Real-valued functions in general topology (54C30)

Related Items (4)

Determinability of Hewitt spaces by the lattices of subalgebras with unit of semifields of continuous positive functions with MAX-plus ⋮ Determinability of semirings of continuous nonnegative functions with max-plus by the lattices of their subalgebras ⋮ Isomorphisms of semirings of continuous nonnegative functions with max-addition and isomorphisms of lattices of their subalgebras ⋮ Isomorphisms of lattices of subalgebras of the semifield of continuous positive functions with max-addition

Cites Work

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• Specification of topological spaces by algebraic systems of continuous functions
• Lattice of subalgebras of the ring of continuous functions and Hewitt spaces
• Isomorphisms of lattices of subalgebras of semirings of continuous nonnegative functions
• Determinability of Hewitt spaces by the lattices of subalgebras with unit of semifields of continuous positive functions with MAX-plus
• Rings of continuous functions. Algebraic aspects
• Rings of Real-Valued Continuous Functions. I

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