Definability of semifields of continuous positive functions by the lattices of their subalgebras

DOI10.1070/SM8609zbMath1384.54012OpenAlexW2461385792MaRDI QIDQ2957855

V. V. Sidorov

Publication date: 30 January 2017

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm8609

zbMATH Keywords

isomorphismsubalgebralattice of subalgebrasHewitt spacesemifield of continuous functions

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40) Semifields (12K10) Real-valued functions in general topology (54C30) Ordered topological linear spaces, vector lattices (46A40)

Related Items

Isomorphisms of semirings of continuous nonnegative functions and the lattices of their subalgebras, Isomorphisms of lattices of subalgebras of semifields of positive continuous functions

Cites Work

• Specification of topological spaces by algebraic systems of continuous functions
• Isomorphisms of lattices of subalgebras of semirings of continuous nonnegative functions
• Rings of continuous functions. Algebraic aspects
• Rings of Real-Valued Continuous Functions. I
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