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MATHEMATICA BOHEMICA, Vol. 130, No. 3, pp. 283-300 (2005)
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Normalization of $MV$-algebras

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I. Chajda, R. Halas, J. Kühr, A. Vanzurova

* I. Chajda*, * R. Halas*, * J. Kühr*, * A. Vanzurova*, Dept. of Algebra and Geometry, Palacky University Olomouc, Tomkova 40, 779 00 Olomouc, Czech Republic

**Abstract:** We consider algebras determined by all normal identities of $MV$-algebras, i.e. algebras of many-valued logics. For such algebras, we present a representation based on a normalization of a sectionally involutioned lattice, i.e. a $q$-lattice, and another one based on a normalization of a lattice-ordered group.

**Keywords:** $MV$-algebra, abelian lattice-ordered group, $q$-lattice, normalization of a variety

**Classification (MSC2000):** 06D35, 06D05, 06F20, 08B20

**Full text of the article:**

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