On zr-ideals of C(X)

DOI10.2989/16073606.2021.1900446zbMath1502.54006OpenAlexW3172439400MaRDI QIDQ5089984

P. Monjezi, F. Azarpanah, Rostam Mohamadian

Publication date: 15 July 2022

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2021.1900446

zbMATH Keywords

P-spacealmost P-spacecozero complemented spacequasi F-space\(r\)-ideal\(z_r\)-ideal\(z^o\)-ideal

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40) Ideals and multiplicative ideal theory in commutative rings (13A15)

Cites Work

• Intermediate algebras between \(C^*(X)\) and \(C(X)\) as rings of fractions of \(C^*(X)\)
• Cozero complemented spaces; when the space of minimal prime ideals of a \(C(X)\) is compact
• On two sum theorems for ideals of \(C(X)\)
• \(\sqrt z\)-ideals and \(\sqrt {z^{^\circ}}\)-ideals in \(C(X)\)
• On nonregular ideals and z°-ideals in C(X)
• Prime z-Ideals of C(X) and Related Rings
• Almost-P-Spaces
• On ideals consisting entirely of zero divisors
• $r$-ideals in commutative rings
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