\(\sqrt z\)-ideals and \(\sqrt {z^{^\circ}}\)-ideals in \(C(X)\)

DOI10.1007/s10114-005-0738-7zbMath1186.54021OpenAlexW2468965240MaRDI QIDQ2644327

F. Azarpanah, Rostam Mohamadian

Publication date: 31 August 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0738-7

zbMATH Keywords

\(\sqrt {z^{\circ}}\)-ideals\(\sqrt z\)-idealsalmost \(p\)-spacequasi \(f\)-space

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40)

Related Items

On CP-frames, Ideal structure of the classical ring of quotients of \(C(X)\), Prime \(z\)-ideal rings (\(pz\)-rings), Unnamed Item, On the functionally countable subalgebra of \(C(X)\), On z_r-ideals of C(X), Countable strongly annihilated ideals in commutative rings, On \(P_F\)-spaces, Relativez-Ideals in Commutative Rings, Ideals in the Ring of Colombeau Generalized Numbers, Primitive elements in rings of continuous functions, On subrings of the form \(I+\mathbb{R}\) of \(C(X)\), OnSZ°-Ideals in Polynomial Rings, Relative \(z\)-ideals in \(C(X)\), Unnamed Item, d-ideals,f d-ideals and prime ideals, More ring-theoretic characterizations of P-frames, Remarks on subrings ofC(X) of the formI+C*(X), Some notes on \(z\)-ideal and \(d\)-ideal in \(\mathcal{R}L\), ON PRIMARY IDEALS OF POINTFREE FUNCTION RINGS

Cites Work

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• Convex and pseudoprime ideals in rings of continuous functions
• On two sum theorems for ideals of \(C(X)\)
• z-ideals and prime ideals
• On nonregular ideals and z°-ideals in C(X)
• Prime z-Ideals of C(X) and Related Rings
• Order-Cauchy Completions of Rings and Vector Lattices of Continuous Functions
• Almost-P-Spaces
• On ideals consisting entirely of zero divisors