1. MV-modules
- Author
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Di Nola, Antonio, Flondor, Paul, and Leuştean, Ioana
- Subjects
- *
MODULES (Algebra) , *ALGEBRA - Abstract
In the present paper, we define the MV-modules over PMV-algebras. These are structures that naturally correspond to
ℓu -modules overℓu -rings. Fixing anℓu -ring(R,υ) , we prove the equivalence between the category ofℓu -modules over(R,υ) and the category of MV-modules overΓ(R,υ) . We also introduce the truncated modules, that are MV-algebras endowed with an external multiplication defined for any element in the positive cone of anℓu -ring and we prove the natural equivalence between MV-modules and truncated modules. [Copyright &y& Elsevier]- Published
- 2003
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