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Linear and Multilinear Algebra Volume 66, 2018 - Issue 6
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Original Articles

On non-commutative rank and tensor rank

Harm DerksenDepartment of Mathematics, University of Michigan, Ann Arbor, MI, USA.View further author information
&
Visu MakamDepartment of Mathematics, University of Michigan, Ann Arbor, MI, USA.Correspondence[email protected]
View further author information
Pages 1069-1084 | Received 01 Aug 2016, Accepted 27 May 2017, Published online: 06 Jun 2017

Citations (10)

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Read on this site (2)

Harm Derksen & Visu Makam. (2020) The regularity lemma is false over small fields. Communications in Algebra 48:3, pages 1333-1339.
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Harm Derksen & Visu Makam. (2019) Explicit tensors of border rank at least 2d−2 in K ⊗ K ⊗ K in arbitrary characteristic. Linear and Multilinear Algebra 67:10, pages 2104-2116.
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Articles from other publishers (8)

Joshua Brakensiek, Sivakanth Gopi & Visu Makam. (2023) Generic Reed-Solomon Codes Achieve List-Decoding Capacity. Generic Reed-Solomon Codes Achieve List-Decoding Capacity.
Matthias Christandl, Vladimir Lysikov & Jeroen Zuiddam. (2023) Weighted slice rank and a minimax correspondence to Strassen's spectra. Journal de Mathématiques Pures et Appliquées 172, pages 299-329.
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Austin Conner, Fulvio Gesmundo, Joseph M. Landsberg & Emanuele Ventura. (2021) Rank and border rank of Kronecker powers of tensors and Strassen's laser method. computational complexity 31:1.
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Visu Makam & Avi Wigderson. (2021) Singular tuples of matrices is not a null cone (and the symmetries of algebraic varieties). Journal für die reine und angewandte Mathematik (Crelles Journal) 2021:780, pages 79-131.
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Alex Cohen & Guy Moshkovitz. (2021) Structure vs. randomness for bilinear maps. Structure vs. randomness for bilinear maps.
I. Dogan & A. Akpinar. (2021) On Distance in Some Finite Planes and Graphs Arising from Those Planes. Journal of Mathematics 2021, pages 1-17.
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Harm Derksen & Visu Makam. (2020) Algorithms for orbit closure separation for invariants and semi-invariants of matrices. Algebra & Number Theory 14:10, pages 2791-2813.
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Ankit Garg, Visu Makam, Rafael Oliveira & Avi Wigderson. (2019) More Barriers for Rank Methods, via a "numeric to Symbolic" Transfer. More Barriers for Rank Methods, via a "numeric to Symbolic" Transfer.

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