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
Dvurecenskij, A., Kowalski, K., Montagna, F. (2011). State Morphism MV-algebras. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 52(8), 1215-1228 [10.1016/j.ijar.2011.07.003].
State Morphism MV-algebras
MONTAGNA, FRANCO
2011-01-01
Abstract
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
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https://hdl.handle.net/11365/7140
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