Matrices over noncommutative rings as sums of kth powers

DOI10.1080/03081087.2019.1659219zbMath1483.11215OpenAlexW2970587864MaRDI QIDQ5158082

S. A. Katre, Kshipra Wadikar

Publication date: 21 October 2021

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

Full work available at URL: https://doi.org/10.1080/03081087.2019.1659219

zbMATH Keywords

tracematricesWaring's problemsums of powersnoncommutative rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Waring's problem and variants (11P05) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Algebraic systems of matrices (15A30)

Related Items (3)

Matrices over non-commutative rings as sums of powers ⋮ Matrices over commutative rings as sums of higher powers ⋮ Trace and discriminant criteria for a matrix to be a sum of sixth and eighth powers of matrices

Cites Work

• Sums of squares of matrices
• Every integral matrix is the sum of three squares
• Matrices as the sum of four squares
• On the sum powers of matrices
• The waring problem for matrices
• Matrices as sums of squares
• Matrices over orders in algebraic number fields as sums of $k$-th powers
• Matrices over commutative rings as sums of $k$-th powers

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