Higher degrees of distributivity in $MV$-algebras

Ján Jakubík

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Displaying similar documents to “Higher degrees of distributivity in $M V$ -algebras”

On intervals and isometries of $M V$ -algebras

Ján Jakubík (2002)

Czechoslovak Mathematical Journal

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Let Int $𝒜$ be the lattice of all intervals of an $M V$ -algebra $𝒜$ . In the present paper we investigate the relations between direct product decompositions of $𝒜$ and (i) the lattice Int $𝒜$ , or (ii) 2-periodic isometries on $𝒜$ , respectively.

Distinguished extensions of an $M V$ -algebra

Ján Jakubík (1999)

Czechoslovak Mathematical Journal

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Direct product decomposition of $M V$ -algebras

Ján Jakubík (1994)

Czechoslovak Mathematical Journal

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Distributivity of bounded lattices with sectionally antitone involutions

Ivan Chajda (2005)

Discussiones Mathematicae - General Algebra and Applications

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We present a simple condition under which a bounded lattice L with sectionally antitone involutions becomes an MV-algebra. In thiscase, L is distributive. However, we get a criterion characterizingdistributivity of L in terms of antitone involutions only.

Displaying similar documents to “Higher degrees of distributivity in M V -algebras”

On intervals and isometries of M V -algebras

Distinguished extensions of an M V -algebra

Direct product decomposition of M V -algebras

Distributivity of bounded lattices with sectionally antitone involutions

Displaying similar documents to “Higher degrees of distributivity in $M V$ -algebras”

On intervals and isometries of $M V$ -algebras

Distinguished extensions of an $M V$ -algebra

Direct product decomposition of $M V$ -algebras