Concerning \(P\)-frames, essential \(P\)-frames, and strongly zero-dimensional frames
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Publication:1040656
DOI10.1007/s00012-009-0006-2zbMath1190.06007OpenAlexW2026314438MaRDI QIDQ1040656
Publication date: 25 November 2009
Published in: Algebra Universalis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00012-009-0006-2
\(m\)-topologyring idealstrongly zero-dimensional frameessential \(P\)-framering of continuous functions on a frame
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Cites Work
- On the ideal of functions with compact support in pointfree function rings
- Compactification and local connectedness of frames
- On the function ring functor in pointfree topology
- Neat rings
- Some algebraic characterizations of \(F\)-frames
- Some ring-theoretic properties of almost \(P\)-frames
- Notes on pointfree disconnectivity with a ring-theoretic slant
- z-ideals and prime ideals
- Coz-onto frame maps and some applications
- Combining Local and Von Neumann Regular Rings
- Ideals in rings of continuous functions
- Compactifications of Dimension Zero
- C- and C*-quotients in pointfree topology
- The Sorgenfrey plane in dimension theory
- Rings of Real-Valued Continuous Functions. I
- Cozero bases of frames
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item