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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K. Adaricheva, Wiesław Dziobiak, V. Gorbunov (1993)
Fundamenta Mathematicae
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We prove that a finite atomistic lattice can be represented as a lattice of quasivarieties if and only if it is isomorphic to the lattice of all subsemilattices of a finite semilattice. This settles a conjecture that appeared in the context of [11].
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Bin Yu, Qingguo Li, Huanrong Wu (2017)
Open Mathematics
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In the context of the atomic poset, we propose several new methods of constructing the complete lattice and the algebraic lattice, and the mutual decision of relationship between atomic posets and complete lattices (algebraic lattices) is studied.
Ladislav Beran (1975)
Acta Universitatis Carolinae. Mathematica et Physica
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Román, Leopoldo, Zuazua, Rita E. (1996)
Theory and Applications of Categories [electronic only]
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