## 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
Convergence in Perfect MV-Algebras
✍ Scribed by George Georgescu; Ioana Leuştean
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 130 KB
- Volume
- 228
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 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 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.
## 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