2011/02/05 by Anatolij Dvurečenskij, Tomasz Kowalski, Dvurecenskij, A. +3
Computer Science · #06D35 #Advanced Algebra and Logic #Commutative Algebra (math.AC) #FOS: Mathematics #Logic, Reasoning, and Knowledge #Rough Sets and Fuzzy Logic
paper · pdf · doi:10.48550/arxiv.1102.1088
openalex publication_date 2011/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a complete characterization of subdirectly irreducible MV-algebras with internal states (SMV-algebras). This allows us to classify subdirectly irreducible state morphism MV-algebras (SMMV-algebras) and describe single generators of the variety of SMMV-algebras, and show that we have a continuum of varieties of SMMV-algebras.