On atomistic lattices.
Walendziak, Andrzej (1994)
Portugaliae Mathematica
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Displaying similar documents to “An elementary proof of a theorem on sublattices of finite codimension”
On atomistic lattices.
Structure theory for geometric lattices
Henry H. Crapo (1967)
Rendiconti del Seminario Matematico della Università di Padova
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The lattice-isometric copies of in quotients of Banach lattices.
Wójtowicz, Marek (2003)
International Journal of Mathematics and Mathematical Sciences
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Mathematics throughout the ages. II
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Characterization of the order induced by uninorm with the underlying drastic product or drastic sum
Zhi-qiang Liu (2024)
Kybernetika
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In this article, we investigate the algebraic structures of the partial orders induced by uninorms on a bounded lattice. For a class of uninorms with the underlying drastic product or drastic sum, we first present some conditions making a bounded lattice also a lattice with respect to the order induced by such uninorms. And then we completely characterize the distributivity of the lattices obtained.
Finite atomistic lattices that can be represented as lattices of quasivarieties
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].