Lattice of subalgebras of the ring of continuous functions and Hewitt spaces

DOI10.1007/BF02361295zbMath0924.54021MaRDI QIDQ1277577

E. M. Vechtomov

Publication date: 1 March 1999

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

\(R\)-separated space

Mathematics Subject Classification ID

Realcompactness and realcompactification (54D60) Algebraic properties of function spaces in general topology (54C40) Real-valued functions in general topology (54C30) Rings and algebras of continuous, differentiable or analytic functions (46E25) Ideals and subalgebras (46H10)

Related Items (9)

Determinability of Hewitt spaces by the lattices of subalgebras with unit of semifields of continuous positive functions with MAX-plus ⋮ Semirings of continuous functions ⋮ Lattices of subalgebras of semirings of continuous nonnegative functions with the max-plus ⋮ Isomorphisms of semirings of continuous nonnegative functions and the lattices of their subalgebras ⋮ Isomorphisms of lattices of subalgebras of semirings of continuous nonnegative functions ⋮ Determinability of semirings of continuous nonnegative functions with max-plus by the lattices of their subalgebras ⋮ On subrings of the form \(I+\mathbb{R}\) of \(C(X)\) ⋮ 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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