On the ideal of functions with compact support in pointfree function rings
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Publication:626027
DOI10.1007/s10474-010-0024-8zbMath1299.06021OpenAlexW2146840414MaRDI QIDQ626027
Publication date: 25 February 2011
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10474-010-0024-8
framepure idealfunctions with compact supportfunctions with small cozero elementsring idealring of real-valued continuous functions on a frame
Frames, locales (06D22) Ideals and multiplicative ideal theory in commutative rings (13A15) Real-valued functions in general topology (54C30)
Related Items (18)
ON MAXIMAL IDEALS OF R∞L ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On ideals of rings of continuous functions associated with sublocales ⋮ Finite frames, \(P\)-frames and basically disconnected frames ⋮ Concerning real-closed ideals in \(\mathcal{R} L\) and SV-frames ⋮ A note on certain subrings of ℛ (L) ⋮ Characterizing realcompact locales via remainders ⋮ Some properties of algebras of real-valued measurable functions ⋮ On quasi-normality of function rings ⋮ Rings of frame maps from $\mathcal{P}(\mathbb{R})$ to frames which vanish at infinity ⋮ Some new characterizations of finite frames and \(F\)-frames ⋮ Mapping ideals to sublocales ⋮ On the maximal regular ideal of pointfree function rings, and more ⋮ Closed ideals in the uniform topology on the ring of real-valued continuous functions on a frame ⋮ Concerning \(P\)-frames, essential \(P\)-frames, and strongly zero-dimensional frames ⋮ Rings of continuous functions vanishing at infinity on a frame ⋮ Ideals of functions with compact support in the integer-valued case
Cites Work
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- Projectivity of pure ideals
- Some ring-theoretic properties of almost \(P\)-frames
- The local compactness of \(\upsilon\)X
- Essential ideals in \(C(X)\)
- Notes on pointfree disconnectivity with a ring-theoretic slant
- Coz-onto frame maps and some applications
- Compactification of Frames
- C- and C*-quotients in pointfree topology
- Cozero bases of frames
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