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Pseudo-Wajsberg algebras. (English) Zbl 1013.03074
The pseudo MV-algebras of G. Georgescu and A. Iorgulescu [ibid. 6, 95-135 (2001; Zbl 1014.06008)] are a non-commutative extension of MV-algebras. The author defines pseudo Wajsberg algebras and proves their categorical equivalence with the pseudo MV-algebras, so extending a result of J. M. Font, A. J. RodrĂ­guez and A. Torrens [Stochastica 8, 5-31 (1984; Zbl 0557.03040)].

MSC:
03G25 Other algebras related to logic
03B50 Many-valued logic
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