Geodesic
Ring-like structures derived from $\lambda $-lattices with antitone involutions
Mathematica Bohemica, Tome 132 (2007) no. 1, pp. 87-96.

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Using the concept of the $\lambda $-lattice introduced recently by V. Snášel 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.
DOI : 10.21136/MB.2007.133992
Classification : 06A12, 06B99, 06C15, 16Y99, 81P10
Keywords: $\lambda $-lattice; $\lambda $-semilattice; ortholattice; $\lambda $-ortholattice; antitone involution; Boolean quasiring 
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Chajda, Ivan. Ring-like structures derived from $\lambda $-lattices with antitone involutions. Mathematica Bohemica, Tome 132 (2007) no. 1, pp. 87-96. doi : 10.21136/MB.2007.133992. http://geodesic.mathdoc.fr/articles/10.21136/MB.2007.133992/

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