Some properties of algebras of real-valued measurable functions

DOI10.1007/s10474-009-8138-6zbMath1199.54116OpenAlexW2071543155MaRDI QIDQ1046915

H. Azadi, Ehsan Momtahan, Melvin Henriksen

Publication date: 29 December 2009

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

Full work available at URL: https://doi.org/10.1007/s10474-009-8138-6

zbMATH Keywords

von Neumann regular rings\(\aleph_0\)-self-injectivityrings of measurable functions

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Algebraic properties of function spaces in general topology (54C40) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items

Maximal ideals in rings of real measurable functions, Ideals in rings and intermediate rings of measurable functions, Self-injectivity of M(X,A) versus M(X,A) modulo its socle, ZERO-DIVISOR GRAPH OF THE RINGS OF REAL MEASURABLE FUNCTIONS WITH THE MEASURES, Unnamed Item, Recent progress in rings and subrings of real valued measurable functions, Essential Ideals in Rings of Measurable Functions, Unnamed Item, More on rings of functions which are discontinuous on a set of measure zero, m-TOPOLOGY ON THE RING OF REAL-MEASURABLE FUNCTIONS, Rings of functions which are discontinuous on a set of measure zero

Cites Work

• Algebras of measurable functions
• On the Intrinsic Topology and Some Related Ideals of C(X)
• On ℵ₀-Injectivity
• On a question of matlis
• OnC(X) Modulo its Socle
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