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Dvurečenskij, Anatolij

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

J. Aust. Math. Soc. 72, No. 3, 427-445 (2002).
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)].
Reviewer: Salvatore Sessa (Napoli)

Cited in 9 Reviews
Cited in 136 Documents

MSC:

06D35 MV-algebras
06F15 Ordered groups

Keywords:

pseudo MV-algebra; categorical equivalence; lattice-ordered groups

Citations:

Zbl 1014.06008; Zbl 0597.46059
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\textit{A. Dvurečenskij}, J. Aust. Math. Soc. 72, No. 3, 427--445 (2002; Zbl 1027.06014)
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