Computations of cyclotomic lattices.
Batut, Christian, Quebbemann, Heinz-Georg, Scharlau, Rudolf (1995)
Experimental Mathematics
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Displaying similar documents to “Unimodular lattices over real quadratic fields.”
Computations of cyclotomic lattices.
Etude algorithmique de réseaux construits avec la forme trace. (Algorithmic study of lattices constructed by means of the trace form).
Bachoc, Christine, Batut, Christian (1992)
Experimental Mathematics
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Section Semicomplemented Lattices.
Melvin F. Janowitz (1968/69)
Mathematische Zeitschrift
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On Even Unimodular Positive Definite Quadratic Lattices of Rank 32.
Michio Ozeki (1986)
Mathematische Zeitschrift
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Indexed Orthomodular Lattices.
Melvin F. Janowitz (1971)
Mathematische Zeitschrift
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A problem of A. Monteiro concerning relative complementation of lattices
M. E. Adams (1974)
Colloquium Mathematicae
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Classification lattices are geometric for complete atomistic lattices
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.
A characterization of complete bi-Brouwerian lattices
R. Beazer (1974)
Colloquium Mathematicae
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On Norm Three Vectors in Integral Euclidean Lattices. I.
Arnold Neumaier (1983)
Mathematische Zeitschrift
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Representation of uni-nullnorms and null-uninorms on bounded lattices
Yi-Qun Zhang, Ya-Ming Wang, Hua-Wen Liu (2024)
Kybernetika
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In this paper, we present the representation for uni-nullnorms with disjunctive underlying uninorms on bounded lattices. It is shown that our method can cover the representation of nullnorms on bounded lattices and some of existing construction methods for uni-nullnorms on bounded lattices. Illustrative examples are presented simultaneously. In addition, the representation of null-uninorms with conjunctive underlying uninorms on bounded lattices is obtained dually.
Primary decompisition in multiplicative lattices.
P.J. McCarthy (1965)
Mathematische Zeitschrift
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Dependence of finiteness conditions in distributive lattices.
Sherwin P. Avann (1964)
Mathematische Zeitschrift
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On Cohomological Periodicity of ZG-Lattices.
Olympia Talelli (1979)
Mathematische Zeitschrift
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Contributions to some generalizations of lattices
G. Szasz (1976)
Matematički Vesnik
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On M-operators of q-lattices
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.