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.
Cyclic Elements in MV-Algebras and Post Algebras
✍ Scribed by Antoni Torrens
- Publisher
- John Wiley and Sons
- Year
- 1994
- Tongue
- English
- Weight
- 649 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
In this paper we characterize the MV‐algebras containing as subalgebras Post algebras of finitely many orders. For this we study cyclic elements in MV‐algebras which are the generators of the fundamental chain of the Post algebras.
Mathematics Subject Classification: 03G20, 03G25, 06D25, 06D30, 06F15, 06F35.
📜 SIMILAR VOLUMES
## Abstract In this paper we define the hyper operations ⊗, ∨ and ∧ on a hyper __MV__ ‐algebra and we obtain some related results. After that by considering the notions ofhyper __MV__ ‐ideals and weak hyper __MV__ ‐ideals, we prove some theorems. Then we determine relationships between (weak) hyper
## Abstract Generalizations of Boolean elements of a BL‐algebra __L__ are studied. By utilizing the MV‐center MV(__L__) of __L__, it is reproved that an element __x__ ∈ __L__ is Boolean iff __x__ ∨ __x__ \* = **1**. __L__ is called semi‐Boolean if for all __x__ ∈ __L__, __x__ \* is Boolean. An MV‐a
We introduce weakly divisible MV-algebras and we show that every weakly divisible a-complete MV-algebra is isomorphic to the system of all continuous fuzzy functions defined on some compact Hausdorff space which generalizes a result of Di Nola and Sesse (in "Non Classical Logics and Their Applicatio