Imbedding locally convex lattices into compact lattices
Albert R. Stralka (1974)
Colloquium Mathematicae
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Albert R. Stralka (1974)
Colloquium Mathematicae
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Batut, Christian, Quebbemann, Heinz-Georg, Scharlau, Rudolf (1995)
Experimental Mathematics
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Andrzej Sładek (2015)
Annales Mathematicae Silesianae
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The main goal of the paper is to examine the dimension of the vector space spanned by powers of linear forms. We also find a lower bound for the number of summands in the presentation of zero form as a sum of d-th powers of linear forms.
W. Banaszczyk (1995)
Discrete & computational geometry
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M. E. Adams (1974)
Colloquium Mathematicae
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Bachoc, Christine, Batut, Christian (1992)
Experimental Mathematics
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Melvyn B. Nathanson, Kevin O'Bryant, Brooke Orosz, Imre Ruzsa, Manuel Silva (2007)
Acta Arithmetica
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R. Beazer (1974)
Colloquium Mathematicae
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G. Szasz (1976)
Matematički Vesnik
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Budarina, N.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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R. Padmanabhan (1966)
Colloquium Mathematicae
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Petr Emanovský (1993)
Mathematica Bohemica
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V. I. Marmazejev introduced in [3] the following concept: two lattices are convex isomorphic if their lattices of all convex sublattices are isomorphic. He also gave a necessary and sufficient condition under which the lattice are convex isomorphic, in particular for modular, distributive and complemented lattices. The aim this paper is to generalize this concept to the -lattices defined in [2] and to characterize the convex isomorphic -lattices.