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.

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.