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Quantum MV-Algebras and Commutativity

✍ Scribed by Roberto Giuntini


Book ID
111565844
Publisher
Springer
Year
1998
Tongue
English
Weight
138 KB
Volume
37
Category
Article
ISSN
0020-7748

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πŸ“œ SIMILAR VOLUMES


MV-Algebras and Quantum Computation
✍ Antonio Ledda; Martinvaldo Konig; Francesco Paoli; Roberto Giuntini πŸ“‚ Article πŸ“… 2006 πŸ› Springer Netherlands 🌐 English βš– 378 KB
MV-Observables and MV-Algebras
✍ Anatolij Dvurečenskij πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 135 KB

We introduce MV-observables, an analogue of observables for MV-algebras, as -homomorphisms from the Borel tribe generated by the Borel sets of ‫ޒ‬ 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.

Commutative rings whose ideals form an M
✍ Lawrence P. Belluce; Antonio Di Nola πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 332 KB

## 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 semi‐ring of ideals, is isomorphic to an MV‐algebra. This class of rings coincides with the class of commutative rings which are direct su