A representation theorem for MV-algebras

Details A representation theorem for MV-algebras A representation theorem for MV-algebras

2006-02-08

arxiv.org/abs/math/0602169v1

Soft Computing - A Fusion of Foundations, Methodologies and Applications Volume 11 (2007), Number 6, 557-564

Mathematics

Rings and Algebras

Scientific paper

10.1007/s00500-006-0100-8

An {\em MV-pair} is a pair $(B,G)$ where $B$ is a Boolean algebra and $G$ is a subgroup of the automorphism group of $B$ satisfying certain conditions. Let $\sim_G$ be the equivalence relation on $B$ naturally associated with $G$. We prove that for every MV-pair $(B,G)$, the effect algebra $B/\sim_G$ is an MV- effect algebra. Moreover, for every MV-effect algebra $M$ there is an MV-pair $(B,G)$ such that $M$ is isomorphic to $B/\sim_G$.

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