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Mv-like algebras associated to lambda-ortholattices

Chajda I., Emanovsky P., Kolarik M.

Demonstratio Mathematica

2007

Vol. 40, nr 2

261-270

The concept of a ambda-lattice generalizes a lattice by substituting associativity by the so-called skew associativity. When a bounded ambda-lattice is equipped with a monotonous unary involution which is a complementation, it is called a ambda-ortholattice. For ambda-ortholattices a Sheffer operation is constructed and, moreover, a derived algebra analogous to an MV-algebra is assigned whenever the ambda-lattice has antitone involutions on sections.