Sums and products of pairs of quadratic endomorphisms of a countable-dimensional vector space

DOI10.1080/03081087.2021.1968332OpenAlexW3197490989MaRDI QIDQ5888866

Clément de Seguins Pazzis

Publication date: 25 April 2023

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.04273

zbMATH Keywords

decompositioninvolutionsinfinite matricessquare-zero endomorphismsKaplansky invariantsspaces with countable dimension

Mathematics Subject Classification ID

Factorization of matrices (15A23) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

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• Sums of square-zero endomorphisms of a free module.
• Sums of two square-zero matrices over an arbitrary field
• Products of involutions
• Product of two involutions
• Sums of small numbers of idempotents
• The constructive theory of countable abelian p-groups
• A note on sums of three square-zero matrices
• Sums of three quadratic endomorphisms of an infinite-dimensional vector space
• Products of symmetries
• Sums of square-zero operators
• Corrigendum to ‘Sums of square-zero infinite matrices’ (Linear Multilinear Algebra 64 (2016), 1760–1768)
• Endomorphisms of free modules as sums of four quadratic endomorphisms
• Products of Involutions of an Infinite-dimensional Vector Space
• Sums of Quadratic Endomorphisms of an Infinite-Dimensional Vector Space
• Sums of square-zero infinite matrices
• Products of idempotent matrices

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