Matrices over commutative rings as sums of higher powers

DOI10.1080/03081087.2022.2158296OpenAlexW4313251172MaRDI QIDQ6198674

Unnamed Author, Kijti Rodtes

Publication date: 23 February 2024

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

Full work available at URL: https://doi.org/10.1080/03081087.2022.2158296

zbMATH Keywords

algebraic number fieldsmatricesdiscriminantWaring's problemcommutative ringssum of powers

Mathematics Subject Classification ID

Quadratic extensions (11R11) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Class numbers, class groups, discriminants (11R29) Algebraic numbers; rings of algebraic integers (11R04) Matrices, determinants in number theory (11C20)

Cites Work

• Sums of squares of matrices
• Matrices as sums of squares: a conjecture of Griffin and Krusemeyer
• On the sum powers of matrices
• The waring problem for matrices
• Matrices as sums of squares
• Combinatorial Identities Deriving From The $N$-th Power Of A $2\Times 2$ Matrix
• Matrices over commutative rings as sums of $k$-th powers
• Matrices over commutative rings as sums of fifth and seventh powers of matrices
• Matrices over non-commutative rings as sums of powers
• Trace and discriminant criteria for a matrix to be a sum of sixth and eighth powers of matrices
• Matrices over noncommutative rings as sums of kth powers

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