Waring's problem for algebras over fields

DOI10.1016/0022-314X(87)90085-0zbMath0624.10049OpenAlexW2075119953MaRDI QIDQ1092106

L.N.Vaserstein and E.R.Wheland

Publication date: 1987

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(87)90085-0

zbMATH Keywords

Waring's problem for rings

Mathematics Subject Classification ID

Waring's problem and variants (11P05) General commutative ring theory (13A99) Polynomials and matrices (11C99)

Related Items

Representations of polynomials over finite fields of characteristic two as \(A^2+A+BC+D^3\) ⋮ Vanishing Polynomial Sums ⋮ The strict Waring problem for polynomial rings ⋮ Infinite easier Waring constants for commutative rings ⋮ Sums of biquadrates and cubes in \(\mathbb F_q[t\)] ⋮ Waring’s problem for polynomials in two variables ⋮ Matrices over commutative rings as sums of $k$-th powers ⋮ The unrestricted variant of Waring's problem in function fields ⋮ Commutators and images of noncommutative polynomials ⋮ Sums of \((2^r + 1)\)-th powers in the polynomial ring \(\mathbb F_{2^m}[T\)] ⋮ Waring's problem for integral quaternions ⋮ Matrices over commutative rings as sums of fifth and seventh powers of matrices ⋮ Waring's problem in function fields

Cites Work

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