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Weak pseudo-Wajsberg and weak pseudo-MV algebras

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Abstract

 We introduce and study a generalization of pseudo-Wajsberg and pseudo-MV algebras. The weakening of the axioms leads to the existence of two lattice structures, and of two multiplicative monoid structures. Some categorical equivalences are established.

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Authors and Affiliations

  1. Faculty of Mathematics, Bucharest University, Academiei 14, R-70109, Bucureşti, Romania E-mail: rc@funinf.math.unibuc.ro, , , , , , RO

    R. Ceterchi

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  1. R. Ceterchi
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Ceterchi, R. Weak pseudo-Wajsberg and weak pseudo-MV algebras. Soft Computing 5, 334–346 (2001). https://doi.org/10.1007/s005000100135

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  • DOI: https://doi.org/10.1007/s005000100135