Semi-simple and complete MV-algebras
β Scribed by L. P. Belluce
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 400 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0002-5240
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π SIMILAR VOLUMES
We introduce MV-observables, an analogue of observables for MV-algebras, as -homomorphisms from the Borel tribe generated by the Borel sets of β«ήβ¬ and w x constant functions from 0, 1 into an MV-algebra M. We show that it is possible to define such observables only for weakly divisible MV-algebras.
The quantum version of the dynamical systems whose integrability is related to the root systems of semi-simple Lie algebras are considered. It is proved that the operators fk introduced by Calogero et al. are integrals of motion and that they commute. The explicit form of another class of integrals