Structure theory for geometric lattices
Henry H. Crapo (1967)
Rendiconti del Seminario Matematico della Università di Padova
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Henry H. Crapo (1967)
Rendiconti del Seminario Matematico della Università di Padova
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Walendziak, Andrzej (1994)
Portugaliae Mathematica
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Ladislav Beran (1975)
Acta Universitatis Carolinae. Mathematica et Physica
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David Stanovský (2007)
Czechoslovak Mathematical Journal
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We investigate the variety of residuated lattices with a commutative and idempotent monoid reduct.
Ivan Rival, Bill Sands (1982)
Banach Center Publications
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Călugăreanu, Grigore (1996)
Mathematica Pannonica
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Václav Slavík (1973)
Commentationes Mathematicae Universitatis Carolinae
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Yuichi Futa, Yasunari Shidama (2016)
Formalized Mathematics
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In this article, we formalize the definition of lattice of ℤ-module and its properties in the Mizar system [5].We formally prove that scalar products in lattices are bilinear forms over the field of real numbers ℝ. We also formalize the definitions of positive definite and integral lattices and their properties. Lattice of ℤ-module is necessary for lattice problems, LLL (Lenstra, Lenstra and Lovász) base reduction algorithm [14], and cryptographic systems with lattices [15] and coding...