Algebraic characterizations of measure algebras

2006/12/20 by Thomas Jech, Jech, Thomas
Computer Science · Mathematics · #28 #Advanced Algebra and Logic #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #Functional Analysis (math.FA) #Logic (math.LO)

paper · pdf · doi:10.48550/arxiv.math/0612598

openalex publication_date 2006/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present necessary and sufficient conditions for the existence of a countably additive measure on a complete Boolean algebra.

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• Measures on Boolean algebras
• On the isomorphism problem for measures on Boolean algebras
• Measure Algebras
• On Boolean algebras with strictly positive measures
• Finitely additive measures on Boolean algebras