Mark Gaulter (2007)
Journal de Théorie des Nombres de Bordeaux
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We improve the known upper bound of the dimension of an indecomposable unimodular lattice whose shadow has the third largest possible length, .
Václav Slavík (1991)
Commentationes Mathematicae Universitatis Carolinae
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The variety of lattices generated by lattices of all convex sublattices of distributive lattices is investigated.
Giuseppina Barbieri, Antonietta Valente, Hans Weber (2012)
Czechoslovak Mathematical Journal
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We deal with decomposition theorems for modular measures defined on a D-lattice with values in a Dedekind complete -group. Using the celebrated band decomposition theorem of Riesz in Dedekind complete -groups, several decomposition theorems including the Lebesgue decomposition theorem, the Hewitt-Yosida decomposition theorem and the Alexandroff decomposition theorem are derived. Our main result—also based on the band decomposition theorem of Riesz—is the Hammer-Sobczyk decomposition...
Zdena Riečanová (2011)
Kybernetika
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An effect algebraic partial binary operation defined on the underlying set uniquely introduces partial order, but not conversely. We show that if on a MacNeille completion of there exists an effect algebraic partial binary operation then need not be an extension of . Moreover, for an Archimedean atomic lattice effect algebra we give a necessary and sufficient condition for that existing on is an extension of defined on . Further we show that such extending exists...
Adler, Vsevolod E., Shabat, Alexey B. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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