## Subdirect product decompositions of $$MV$$-algebras.(English)Zbl 0951.06012

As is known, every $$MV$$-algebra $$A$$ can be represented by means of an abelian lattice ordered group $$G$$ with a strong order unit $$u$$. The author shows that the lattices of congruences of $$A$$ and $$G$$ are isomorphic and uses this fact to describe the connections between subdirect product decompositions of $$A$$ and of $$G$$. Further, he studies some special types of subdirect product decompositions of $$MV$$-algebras.

### MSC:

 06D35 MV-algebras 06F20 Ordered abelian groups, Riesz groups, ordered linear spaces
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### References:

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