Wedderburn polynomials over division rings, II

zbMath1173.16011arXiv0706.3515MaRDI QIDQ3517564

Adem Ozturk, André Leroy, Tsit-Yuen Lam

Publication date: 12 August 2008

Full work available at URL: https://arxiv.org/abs/0706.3515

zbMATH Keywords

skew polynomial ringsmatrix diagonalizationalgebraic setsWedderburn factorization theorem

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Infinite-dimensional and general division rings (16K40) Eigenvalues, singular values, and eigenvectors (15A18) Special polynomials in general fields (12E10)

Related Items (18)

Sum-rank product codes and bounds on the minimum distance ⋮ Standard polynomial equations over division algebras ⋮ Cyclic matrices and polynomial interpolation over division rings ⋮ Twisted linearized Reed-Solomon codes: a skew polynomial framework ⋮ PBH tests for nonlinear systems ⋮ Quasi-poles of linear time-varying systems in an intrinsic algebraic approach ⋮ Stability criteria with nonlinear eigenvalues for diagonalizable nonlinear systems ⋮ Combinatorial Nullstellensatz over division rings ⋮ Hartmann-Tzeng bound and skew cyclic codes of designed Hamming distance ⋮ Evaluation of iterated Ore polynomials and skew Reed-Muller codes ⋮ A note on integer-valued skew polynomials ⋮ Wedderburn polynomials over division rings. I. ⋮ Similarity reduction of matrix over a quaternion division ring ⋮ Factorization theory: from commutative to noncommutative settings. ⋮ On the rational relationships among pseudo-roots of a non-commutative polynomial ⋮ FIXED POINTS OF POLYNOMIALS OVER DIVISION RINGS ⋮ An intrinsic algebraic setting for poles and zeros of linear time-varying systems ⋮ $P$-orderings of noncommutative rings

This page was built for publication: Wedderburn polynomials over division rings, II