Finiteness properties of congruence classes of infinite-by-infinite matrices

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Abstract

We look at affine spaces of N×NN×N matrices over a field K, and consider varieties that are stable under simultaneous row and column operations. We prove that up to symmetry, any of these varieties is defined by finitely many equations. Keywords: Noetherianity; General linear group
Original languageEnglish
Pages (from-to)290-303
JournalLinear Algebra and Its Applications
Volume484
DOIs
Publication statusPublished - 2015

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