Ideals in rings and intermediate rings of measurable functions

DOI10.1142/S0219498820500383zbMath1440.54009arXiv1806.02860OpenAlexW2964123393WikidataQ114614727 ScholiaQ114614727MaRDI QIDQ5108408

Sagarmoy Bag, Sudip Kumar Acharyya, Joshua Sack

Publication date: 4 May 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.02860

zbMATH Keywords

hull-kernel topologymaximal idealrings of measurable functionsconditionally complete lattice\(\mathcal{A}\)-filter\(\mathcal{A}\)-ultrafilter\(P\)-space.intermediate rings of measurable functionsStone-topology

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Algebraic properties of function spaces in general topology (54C40)

Related Items (5)

Unnamed Item ⋮ ZERO-DIVISOR GRAPH OF THE RINGS OF REAL MEASURABLE FUNCTIONS WITH THE MEASURES ⋮ Recent progress in rings and subrings of real valued measurable functions ⋮ More on rings of functions which are discontinuous on a set of measure zero ⋮ Rings of functions which are discontinuous on a set of measure zero

Cites Work

• Some properties of algebras of real-valued measurable functions
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• Maximal Ideals in Subalgebras of C(X)
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• OnC(X) Modulo its Socle
• On ideals consisting entirely of zero divisors
• Maximal ideals in rings of real measurable functions
• The Maximal Ideal Space of a Ring of Measurable Functions
• Commutative Rings in Which Every Prime Ideal is Contained in a Unique Maximal Ideal
• Rings of Real-Valued Continuous Functions. I
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