Invariance of simultaneous similarity and equivalence of matrices under extension of the ground field - Mathematics > Rings and AlgebrasReport as inadecuate




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Abstract: We give a new and elementary proof that simultaneous similarity andsimultaneous equivalence of families of matrices are invariant under extensionof the ground field, a result which is non-trivial for finite fields and firstappeared in a paper of Klinger and Levy.



Author: Clement de Seguins Pazzis

Source: https://arxiv.org/







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