Essential ideals in \(C(X)\)

DOI10.1007/BF01876485zbMath0869.54021MaRDI QIDQ1914705

F. Azarpanah

Publication date: 23 June 1996

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

essential idealannihilatorGoldie dimensionSouslin numbersocle\(P\)-spaceFréchet filter

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Algebraic properties of function spaces in general topology (54C40)

Related Items

INTERSECTION OF ESSENTIAL IDEALS IN THE RING OF REAL-VALUED CONTINUOUS FUNCTIONS ON A FRAME ⋮ A closer look at primal and pseudo-irreducible ideals with applications to rings of functions ⋮ Essential ideals represented by mod-annihilators of modules ⋮ OnC(X) Modulo its Socle ⋮ Variations of essentiality of ideals in commutative rings ⋮ Unnamed Item ⋮ Algebraic properties of some factor rings of \(C(X)\) ⋮ Rings in which idempotents generate maximal or minimal ideals ⋮ Commutative rings in which zero-components of essential primes are essential ⋮ On the ideal of functions with compact support in pointfree function rings ⋮ Algebraic Characterization of Dense-Separability Among Compact Spaces ⋮ Intersection of essential ideals in $C(X)$ ⋮ Unnamed Item ⋮ Intersections of essential (resp. free) maximal ideals of \(C(X)\) ⋮ Relativez-Ideals in Commutative Rings ⋮ On regular ideals in reduced rings ⋮ Unnamed Item ⋮ On ideals consisting entirely of zero divisors ⋮ Unnamed Item ⋮ Sum and intersection of summand ideals inC(X) ⋮ Essential Ideals in Rings of Measurable Functions ⋮ Some new results on functions inC(X) having their support on ideals of closed sets ⋮ Avoiding modules, co-avoiding modules, Goldie dimension and its dual ⋮ Unnamed Item ⋮ Restricted minimum condition for group-rings and matrix extensions ⋮ ON PRIMARY IDEALS OF POINTFREE FUNCTION RINGS ⋮ A CHARACTERIZATION OF BAER-IDEALS

Cites Work

• On the Intrinsic Topology and Some Related Ideals of C(X)
• On the classical Krull dimension of rings
• The Space of Minimal Prime Ideals of a Commutative Ring
• Supports of Continuous Functions
• The Extended Centralizer of a Ring Over a Module
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item