Isomorphisms of semirings of continuous nonnegative functions with max-addition and isomorphisms of lattices of their subalgebras

DOI10.33048/semi.2020.17.021zbMath1445.54010OpenAlexW3019174166MaRDI QIDQ2306053

V. V. Sidorov

Publication date: 20 March 2020

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2020.17.021

zbMATH Keywords

isomorphismsubalgebrasemirings of continuous functionslattice of subalgebrasHewitt spacemax-addition

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40) Semirings (16Y60) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Cites Work

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• Lattice of subalgebras of the ring of continuous functions and Hewitt spaces
• Lattices of subalgebras of semirings of continuous nonnegative functions with the max-plus
• Isomorphisms of lattices of subalgebras of the semifield of continuous positive functions with max-addition
• Determinability of Hewitt spaces by the lattices of subalgebras with unit of semifields of continuous positive functions with MAX-plus
• Rings of Real-Valued Continuous Functions. I

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