Expansion of an atomic operator.
Tabuev, S.N. (2003)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Tabuev, S.N. (2003)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Topping, D. (1964)
Portugaliae mathematica
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V. Balachandran (1955)
Fundamenta Mathematicae
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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.
David P. Ellerman, Gian-Carlo Rota (1978)
Rendiconti del Seminario Matematico della Università di Padova
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Ivan Chajda, Helmut Länger, Maciej Mączyński (2004)
Mathematica Slovaca
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Dragić Banković (1987)
Publications de l'Institut Mathématique
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Francesc Esteva (1977)
Stochastica
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In this note we give a characterization of complete atomic Boolean algebras by means of complete atomic lattices. We find that unicity of the representation of the maximum as union of atoms and Lambda-infinite distributivity law are necessary and sufficient conditions for the lattice to be a complete atomic Boolean algebra.
P. Ribenboin (1969)
Fundamenta Mathematicae
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