Generalized Frobenius numbers: bounds and average behavior
Iskander Aliev, Lenny Fukshansky, Martin Henk (2012)
Acta Arithmetica
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Iskander Aliev, Lenny Fukshansky, Martin Henk (2012)
Acta Arithmetica
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E. Kranakis, M. Pocchiola (1994)
Discrete & computational geometry
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N. Alon, D.J. Kleitman (1986)
Discrete & computational geometry
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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.
J. Quinn, R. Reichard (1974)
Colloquium Mathematicae
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Rastislav Telgársky (1976)
Colloquium Mathematicae
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B. Mohar (1988)
Discrete & computational geometry
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J.M. Wills, S. Vassallo (1996)
Monatshefte für Mathematik
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Karol Borsuk, Rimas Vaina (1979)
Colloquium Mathematicae
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J. Pach (1986)
Discrete & computational geometry
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Radomír Halaš (2002)
Discussiones Mathematicae - General Algebra and Applications
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It is well known that every complete lattice can be considered as a complete lattice of closed sets with respect to appropriate closure operator. The theory of q-lattices as a natural generalization of lattices gives rise to a question whether a similar statement is true in the case of q-lattices. In the paper the so-called M-operators are introduced and it is shown that complete q-lattices are q-lattices of closed sets with respect to M-operators.
Fejes G. Tóth (1995)
Discrete & computational geometry
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Joós, Antal (2008)
Beiträge zur Algebra und Geometrie
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Andrzej Walendziak (1996)
Archivum Mathematicum
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For lattices of finite length there are many characterizations of semimodularity (see, for instance, Grätzer [3] and Stern [6]–[8]). The present paper deals with some conditions characterizing semimodularity in lower continuous strongly dually atomic lattices. We give here a generalization of results of paper [7].