Irreducible algebraic sets of matrices with dominant restriction of the characteristic map

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Irreducible Algebraic Sets of Matrices with Dominant Restriction of the Characteristic Map

We collect certain useful lemmas concerning the characteristic map, GLninvariant sets of matrices, and the relative codimension. We provide a characterization of rank varieties in terms of the characteristic map as well as some necessary and some sufficient conditions for linear subspaces to allow the dominant restriction of the characteristic map.

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ژورنال

عنوان ژورنال: Mathematica Bohemica

سال: 2003

ISSN: 0862-7959,2464-7136

DOI: 10.21136/mb.2003.133938