Quantum MV-Algebras and Commutativity
β Scribed by Roberto Giuntini
- Book ID
- 111565844
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 138 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0020-7748
No coin nor oath required. For personal study only.
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.
## Abstract In this work we introduce a class of commutative rings whose defining condition is that its lattice of ideals, augmented with the ideal product, the semiβring of ideals, is isomorphic to an MVβalgebra. This class of rings coincides with the class of commutative rings which are direct su