Distributive lattices with an additional unary operation.

Joel Berman

Displaying similar documents to “Distributive lattices with an additional unary operation.”

Distributive lattices with an additional unary operation. (Short Communication).

Joel Berman (1977)

Aequationes mathematicae

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Distributive lattices have the intersection property

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...

Meet-distributive lattices have the intersection property

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...

T-independence in distributive lattices

Jerzy Płonka, Werner Poguntke (1976)

Colloquium Mathematicae

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Distributive lattices with a given skeleton

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.