On ranks of matrices over noncommutative domains

DOI10.1134/s0965542523050020zbMath1518.15034OpenAlexW4382052854MaRDI QIDQ6167990

Sergey A. Abramov, Anna A. Ryabenko, Marko Petkovsek

Publication date: 10 July 2023

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542523050020

zbMATH Keywords

column rankrow rankOre conditions

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Vector spaces, linear dependence, rank, lineability (15A03) Ore rings, multiplicative sets, Ore localization (16U20)

Cites Work

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• Sylvester domains
• Non-commutative elimination in Ore algebras proves multivariate identities
• An introduction to pseudo-linear algebra
• Theory of non-commutative polynomials
• Fraction-free row reduction of matrices of Ore polynomials.
• On the Embedding of Rings in Skew Fields
• Ranks of Matrices Over Ore Domains
• Non-commutative domains of integrity.
• Rings of Fractions

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