. "Representation and Extension of States on MV-Algebras" . "In the presented paper, an integral representation theorem for finitely-additive states on semisimple MV-algebra will be proven. Further, we shall prove extension theorems concerning states defined on sub-MV-algebras and normal partitions of unity generalizing in this way the well-known Horn-Tarski theorem for Boolean algebras."@en . "P(1M0572), V, Z(AV0Z10750506)" . "21230" . . . "MV-Algebras"@en . . "Representation and Extension of States on MV-Algebras"@en . . "1432-0665" . "497272" . . "Archive for Mathematical Logic" . "12"^^ . "1"^^ . . "000236962900001" . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "Kroupa, Tom\u00E1\u0161" . "Representation and Extension of States on MV-Algebras" . . . . . "45" . . "RIV/68407700:21230/06:00130613!RIV10-MSM-21230___" . "RIV/68407700:21230/06:00130613" . "1"^^ . "4" . "Representation and Extension of States on MV-Algebras"@en . . . . "[AC99B5100501]" . . "In the presented paper, an integral representation theorem for finitely-additive states on semisimple MV-algebra will be proven. Further, we shall prove extension theorems concerning states defined on sub-MV-algebras and normal partitions of unity generalizing in this way the well-known Horn-Tarski theorem for Boolean algebras." .