On \(z\)-ideals of pointfree function rings

zbMath1309.13004MaRDI QIDQ464555

Oghenetega Ighedo, Themba Dube

Publication date: 27 October 2014

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

idealframe\(z\)-idealYosida frame

Mathematics Subject Classification ID

Frames, locales (06D22) Ideals and multiplicative ideal theory in commutative rings (13A15) Real-valued functions in general topology (54C30)

Related Items (18)

Quasi SV-frames and their properties ⋮ A lattice-theoretic view of some special ideals of subrings of commutative rings ⋮ Some connections between frames of radical ideals and frames of \(z\)-ideals ⋮ Unnamed Item ⋮ zc-ideals and prime ideals in the ring RcL ⋮ Unnamed Item ⋮ When certain prime ideals in rings of continuous functions are minimal or maximal. ⋮ Some new characterizations of finite frames and \(F\)-frames ⋮ Unnamed Item ⋮ More on the functor induced by \(z\)-ideals ⋮ \(z\)-ideals in the real continuous function ring \(\mathcal{R}(L_{\tau}) \) ⋮ More on locales in which every open sublocale is \(z\)-embedded ⋮ Two functors induced by certain ideals of function rings. ⋮ On the maximal regular ideal of pointfree function rings, and more ⋮ On the lattice of \(z\)-ideals of a commutative ring ⋮ Closed ideals in the uniform topology on the ring of real-valued continuous functions on a frame ⋮ Some notes on \(z\)-ideal and \(d\)-ideal in \(\mathcal{R}L\) ⋮ ON PRIMARY IDEALS OF POINTFREE FUNCTION RINGS

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