## Pseudo MV-algebras are intervals in $$\ell$$-groups.(English)Zbl 1027.06014

Pseudo MV-algebras were introduced by G. Georgescu and A. Iorgulescu [Mult.-Valued Log. 6, 95-135 (2001; Zbl 1014.06008)] as natural noncommutative generalization of MV-algebras. The author proves that pseudo MV-algebras are categorically equivalent to lattice-ordered groups (not necessarily abelian) with a strong unit, so extending a famous result of D. Mundici [J. Funct. Anal. 65, 15-63 (1986; Zbl 0597.46059)].

### MSC:

 06D35 MV-algebras 06F15 Ordered groups

### Citations:

Zbl 1014.06008; Zbl 0597.46059
Full Text:

### References:

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