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, .
Waphare, B.N., Joshi, V.V. (2004)
Acta Mathematica Universitatis Comenianae. New Series
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Gabriele Nebe (2004)
Journal de Théorie des Nombres de Bordeaux
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This article classifies the strongly modular lattices with longest and second longest possible shadow.
Adler, Vsevolod E., Shabat, Alexey B. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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M. Galvão, Patrick Smith (1998)
Colloquium Mathematicae
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Elżbieta Mądra, Adam Grabowski (2008)
Formalized Mathematics
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The main result of the article is the solution to the problem of short axiomatizations of orthomodular ortholattices. Based on EQP/Otter results [10], we gave a set of three equations which is equivalent to the classical, much longer equational basis of such a class. Also the basic example of the lattice which is not orthomodular, i.e. benzene (or B6) is defined in two settings - as a relational structure (poset) and as a lattice.As a preliminary work, we present the proofs of the dependence...
Bordalo, G.H., Rodrigues, E. (1998)
Portugaliae Mathematica
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