An Extension of Boolean Lattice Theory.

N.V. SUBRAHMANYAM

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Using the concept of the $λ$ -lattice introduced recently by V. Snášel we define $λ$ -lattices with antitone involutions. For them we establish a correspondence to ring-like structures similarly as it was done for ortholattices and pseudorings, for Boolean algebras and Boolean rings or for lattices with an antitone involution and the so-called Boolean quasirings.