Corrigendum and addendum to the paper "Generating subsets of distributive lattices".
Hans-Christian Reichel (1976)
Journal für die reine und angewandte Mathematik
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Hans-Christian Reichel (1976)
Journal für die reine und angewandte Mathematik
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G. Bruns, B. Banaschewski (1968)
Journal für die reine und angewandte Mathematik
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N. Nobusawa (1967)
Journal für die reine und angewandte Mathematik
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Jerzy Płonka, Werner Poguntke (1976)
Colloquium Mathematicae
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Ian Hambleton, Matthias Kreck (1993)
Journal für die reine und angewandte Mathematik
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J.L. Hickman (1977)
Journal für die reine und angewandte Mathematik
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David C. Feinstein (1975)
Colloquium Mathematicae
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Rudolf Wille, Ivan Rival (1979)
Journal für die reine und angewandte Mathematik
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Joanna Grygiel (2004)
Discussiones Mathematicae - General Algebra and Applications
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We present a construction of finite distributive lattices with a given skeleton. In the case of an H-irreducible skeleton K the construction provides all finite distributive lattices based on K, in particular the minimal one.
K. Głazek (1968)
Colloquium Mathematicae
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Henri Mühle (2023)
Mathematica Bohemica
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This paper is an erratum of H. Mühle: Distributive lattices have the intersection property, Math. Bohem. (2021). Meet-distributive lattices form an intriguing class of lattices, because they are precisely the lattices obtainable from a closure operator with the so-called anti-exchange property. Moreover, meet-distributive lattices are join semidistributive. Therefore, they admit two natural secondary structures: the core label order is an alternative order on the lattice elements and...
D.G. James (1967)
Journal für die reine und angewandte Mathematik
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Naveen Kumar Kakumanu, Kar Ping Shum (2016)
Discussiones Mathematicae General Algebra and Applications
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In this paper, we prove that the class of P₂-Almost Distributive Lattices and Post Almost Distributive Lattices are equationally definable.
Henri Mühle (2021)
Mathematica Bohemica
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Distributive lattices form an important, well-behaved class of lattices. They are instances of two larger classes of lattices: congruence-uniform and semidistributive lattices. Congruence-uniform lattices allow for a remarkable second order of their elements: the core label order; semidistributive lattices naturally possess an associated flag simplicial complex: the canonical join complex. In this article we present a characterization of finite distributive lattices in terms of the core...
Klaus W. Roggenkamp (1971)
Journal für die reine und angewandte Mathematik
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Sherwin P. Avann (1964)
Mathematische Zeitschrift
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