@article {IOPORT.05586582, author = {Pulmannov\'a, Sylvia}, title = {MV-pairs and states.}, year = {2009}, journal = {Soft Computing}, volume = {13}, number = {11}, issn = {1432-7643}, pages = {1081-1087}, publisher = {Springer-Verlag, Berlin}, doi = {10.1007/s00500-008-0381-1}, abstract = {An MV-pair is a pair $(B,G)$ of a Boolean algebra $B$ and a group $G$ of automorphisms of $B$ such that certain conditions are fulfilled. It was known that, for a given MV-pair $(B,G)$, the quotient $B/{\sim_G}$ is an MV-algebra, and that every MV-algebra is of such type. The author modifies the definition of an MV-pair to the notion of an MV*-pair in such a way that the first property of the definition characterizes the situation when $B/{\sim_G}$ is an effect algebra and the second property of the definition guarantees the MV-algebra structure of $B/{\sim_G}$. Some relations between states on MV-algebras and corresponding R-generated Boolean algebras are studied.}, reviewer = {Josef Tkadlec (Praha)}, identifier = {05586582}, }