Lattices of lower finite breadth.
A.A. Forkeotes (1995)
Semigroup forum
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A.A. Forkeotes (1995)
Semigroup forum
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J. Leech (1992)
Semigroup forum
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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...
J. Leech (1996)
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Gabriele H. Greco (1988)
Colloquium Mathematicae
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R.R. Zapatrin (1995)
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Dietmar Schweigert (1985)
Mathematica Slovaca
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Gábor Czédli, Ildikó V. Nagy (2013)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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A rotational lattice is a structure where is a lattice and is a lattice automorphism of finite order. We describe the subdirectly irreducible distributive rotational lattices. Using Jónsson’s lemma, this leads to a description of all varieties of distributive rotational lattices.
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...