Modularity, atomicity and states in Archimedean lattice effect algebras.
Paseka, Jan (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Paseka, Jan (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Waphare, B.N., Joshi, V.V. (2004)
Acta Mathematica Universitatis Comenianae. New Series
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M. Janowitz (1970)
Fundamenta Mathematicae
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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.
Iqbalunnisa (1966)
Fundamenta Mathematicae
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David Sachs (1966)
Rendiconti del Seminario Matematico della Università di Padova
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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...
M. Janowitz (1975)
Fundamenta Mathematicae
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