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Ivan Chajda (2007)
Mathematica Bohemica
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Using the concept of the -lattice introduced recently by V. Snášel we define -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.
Ján Jakubík (2005)
Czechoslovak Mathematical Journal
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In this paper we deal with the vector lattice of all elementary Carathéodory functions corresponding to a generalized Boolean algebra .
R. Subbarayan, A. Vethamanickam (2014)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we prove that Eulerian lattices satisfying some weaker conditions for lattices or some weaker conditions for 0-distributive lattices become Boolean.