Matrices over non-commutative rings as sums of powers

DOI10.1080/03081087.2020.1748856zbMath1482.16044OpenAlexW3014164756MaRDI QIDQ5065536

S. A. Katre, Deepa Krishnamurthi

Publication date: 22 March 2022

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

Full work available at URL: https://doi.org/10.1080/03081087.2020.1748856

zbMATH Keywords

tracematricesWaring's problemsums of powersnon-commutative rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Waring's problem and variants (11P05) Algebraic systems of matrices (15A30)

Related Items (2)

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

• Every integral matrix is the sum of three squares
• On the sum powers of matrices
• The waring problem for matrices
• Matrices as sums of squares
• Matrices over commutative rings as sums of $k$-th powers
• Matrices over noncommutative rings as sums of kth powers

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