Finite-distributive atomistic lattices
Janowitz, M.F., Coté, N.H. (1976)
Portugaliae mathematica
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Janowitz, M.F., Coté, N.H. (1976)
Portugaliae mathematica
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Gabriele H. Greco (1988)
Colloquium Mathematicae
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Zsolt Lengvárszky (1990)
Czechoslovak Mathematical Journal
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Vinayak Joshi (2009)
Mathematica Bohemica
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In this paper we obtain the forbidden configuration for 0-distributive lattices.
Bordalo, G.H., Rodrigues, E. (1998)
Portugaliae Mathematica
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Stern, Manfred (1989)
Portugaliae mathematica
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Gabriele Nebe, Kristina Schindelar (2007)
Journal de Théorie des Nombres de Bordeaux
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S-extremal strongly modular lattices maximize the minimum of the lattice and its shadow simultaneously. They are a direct generalization of the s-extremal unimodular lattices defined in [6]. If the minimum of the lattice is even, then the dimension of an s-extremal lattices can be bounded by the theory of modular forms. This shows that such lattices are also extremal and that there are only finitely many s-extremal strongly modular lattices of even minimum.