The 70th anniversary of Professor Milan Kolibiar
Tibor Katriňák (1992)
Mathematica Slovaca
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Tibor Katriňák (1992)
Mathematica Slovaca
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K. Głazek (1968)
Colloquium Mathematicae
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M. Stem (1982)
Banach Center Publications
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R. Padmanabhan (1966)
Colloquium Mathematicae
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Hua Mao (2017)
Open Mathematics
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We characterize complete atomistic lattices whose classification lattices are geometric. This implies an proper solution to a problem raised by S. Radeleczki in 2002.
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...
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...
Edward Marczewski (1963)
Colloquium Mathematicum
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