Displaying similar documents to “Sums of two powers of linear forms”

Linear Dependence Of Powers Of Linear Forms

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.

Convex isomorphism of Q -lattices

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 q -lattices defined in [2] and to characterize the convex isomorphic q -lattices.