Closed ideals in the uniform topology on the ring of real-valued continuous functions on a frame
DOI10.4171/RSMUP/43zbMath1481.06029OpenAlexW3027074187MaRDI QIDQ776981
Mostafa Abedi, Ali Akbar Estaji
Publication date: 13 July 2020
Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/rsmup/43
frameuniform topologyclosed idealLindelöf frame\( \omega \)-divisible idealpseudocompact framering of all real-valued continuous functions on a frame
Global topological rings (13J20) Frames, locales (06D22) Algebraic properties of function spaces in general topology (54C40) Ideals in associative algebras (16D25) Topology of special sets defined by functions (54C50)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On \(z\)-ideals of pointfree function rings
- Finite frames, \(P\)-frames and basically disconnected frames
- On the ideal of functions with compact support in pointfree function rings
- Stone-Čech compactification of locales. II
- Some algebraic characterizations of \(F\)-frames
- Concerning \(P\)-frames, essential \(P\)-frames, and strongly zero-dimensional frames
- Some ring-theoretic properties of almost \(P\)-frames
- Algebraic properties of some compact spaces
- A new aspect of the cozero lattice in pointfree topology
- Pseudocompact framesLversus different topologies onR(L)
- Frames and Locales
- REAL IDEALS IN POINTFREE RINGS OF CONTINUOUS FUNCTIONS
- On O ω -Ideals in C(X)
- C- and C*-quotients in pointfree topology
- Closed Ideals in C(X)
- Abstract Algebra
- Realcompactness and the cozero part of a frame
This page was built for publication: Closed ideals in the uniform topology on the ring of real-valued continuous functions on a frame
