The paper by Cignoli offers a historical account of the algebraic investigationsof Lukasiewicz logic, leading to a discussion of Daniele’s work up to 1986. Aturning point in such algebraic studies was Chang’s introduction of MV-algebrasin 1958. MV-algebras are the focus of a number of papers in this collection. Belluce,Di Nola, and Lettieri introduce the class of symmetric MV-algebras, andinvestigate their relationship with MV-chains of cardinality p+1, for p a primenumber. Caicedo studies by algebraic means implicit definitions of connectivesin Lukasiewicz infinite-valued logic. Di Nola and Navara continue a line of investigationconcerned with generalizations of the Cantor – Bernstein Theorem toclasses of MV-algebras. Drossos and Karazeris revisit Di Nola’s RepresentationTheorem through Boolean ultrapowers.

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