2017/07/02 by Anatolij Dvurečenskij, Dvurečenskij, Anatolij, Omid Zahiri +1
Computer Science · Decision Sciences · Mathematics · #Advanced Algebra and Logic #Advanced Topics in Algebra #Commutative Algebra (math.AC) #FOS: Mathematics #Fuzzy and Soft Set Theory
paper · pdf · doi:10.48550/arxiv.1707.00270
openalex publication_date 2017/07/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently, in [DvZa], we have introduced EMV-algebras which resemble MV-algebras but the top element is not guaranteed for them. For σ-complete EMV-algebras, we prove an analogue of the Loomis--Sikorski Theorem showing that every σ-complete EMV-algebra is a σ-homomorphic image of an EMV-tribe of fuzzy sets where all algebraic operations are defined by points. To prove it, some topological properties of the state-morphism space and the space of maximal ideals are established.