Ivan Chajda, Department of Algebra and Geometry, Palacky University Olomouc, Tomkova 40, 779 00 Olomouc, Czech Republic, e-mail: email@example.com
Abstract: Using the concept of the $\lambda $-lattice introduced recently by V. Snasel we define $\lambda $-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.
Keywords: $\lambda $-lattice, $\lambda $-semilattice, ortholattice, $\lambda $-ortholattice, antitone involution, Boolean quasiring
Classification (MSC2000): 06C15, 16Y99, 06B99, 81P10, 06A12
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