Pure ideals in commutative reduced Gelfand rings with unity

DOI10.1007/BF01277063zbMath0667.13001OpenAlexW1986264951MaRDI QIDQ1117271

Hassan Al-Ezeh

Publication date: 1989

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01277063

zbMATH Keywords

pure idealring of continuous real valued functionsreduced Gelfand rings

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Algebraic properties of function spaces in general topology (54C40) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (12)

Combining Local and Von Neumann Regular Rings ⋮ A closer look at primal and pseudo-irreducible ideals with applications to rings of functions ⋮ Variations of essentiality of ideals in commutative rings ⋮ An investigation on ordered algebraic hyperstructures ⋮ Commutative rings in which zero-components of essential primes are essential ⋮ Characterizations of Gelfand rings specially clean rings and their dual rings ⋮ N-pure ideals and mid rings ⋮ On regular ideals in reduced rings ⋮ On two properties of the augmentation ideal \(I(G)\). ⋮ Unnamed Item ⋮ C(X): Something old and something new ⋮ Rickart residuated lattices

Cites Work

• Unnamed Item
• Algebra in a localic topos with applications to ring theory
• On some properties of polynomial rings
• On pm-rings

This page was built for publication: Pure ideals in commutative reduced Gelfand rings with unity