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Vladimír Olejček (2012)
Kybernetika
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Does there exist an atomic Archimedean lattice effect algebra with non-atomic subalgebra of sharp elements? An affirmative answer to this question is given.
Casas, J. M., Ladra, M. (2002)
Georgian Mathematical Journal
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J. Monk (1993)
Banach Center Publications
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Hübner, Marion, Petersson, Holger P. (2004)
Beiträge zur Algebra und Geometrie
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Dharmanand Baboolal (2011)
Czechoslovak Mathematical Journal
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Perfect compactifications of frames are introduced. It is shown that the Stone-Čech compactification is an example of such a compactification. We also introduce rim-compact frames and for such frames we define its Freudenthal compactification, another example of a perfect compactification. The remainder of a rim-compact frame in its Freudenthal compactification is shown to be zero-dimensional. It is shown that with the assumption of the Boolean Ultrafilter Theorem the Freudenthal compactification...
Sergio Albeverio, Bakhrom A. Omirov, Isamiddin S. Rakhimov (2006)
Extracta Mathematicae
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Bege, Antal, Fogarasi, Kinga (2009)
Acta Universitatis Sapientiae. Mathematica
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Tsereteli, I. (1994)
Georgian Mathematical Journal
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