Hilbert 90 Theorems Over Divison Rings
From MaRDI portal
Publication:4316956
DOI10.2307/2154989zbMath0820.16024OpenAlexW4246790453MaRDI QIDQ4316956
Publication date: 19 December 1994
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2154989
endomorphismsskew polynomial ringsskew fieldsOre extensionscv-polynomialsexponential spaceslinear isomorphismsalgebraic conjugacy classes\(S\)-derivationsinner orders
Ordinary and skew polynomial rings and semigroup rings (16S36) Automorphisms and endomorphisms (16W20) Infinite-dimensional and general division rings (16K40) Conditions on elements (16U99) Derivations, actions of Lie algebras (16W25)
Related Items
Zeros with multiplicity, Hasse derivatives and linear factors of general skew polynomials ⋮ Skew and linearized Reed-Solomon codes and maximum sum rank distance codes over any division ring ⋮ Combinatorial Nullstellensatz over division rings ⋮ Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables ⋮ Fast Kötter-Nielsen-Høholdt interpolation over skew polynomial rings and its application in coding theory ⋮ Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings ⋮ Wedderburn polynomials over division rings. I. ⋮ Lagrange interpolation over division rings ⋮ Evaluation and interpolation over multivariate skew polynomial rings ⋮ Nonassociative cyclic extensions of fields and central simple algebras ⋮ The automorphisms of Petit’s algebras ⋮ Writing representations over proper division subrings. ⋮ Additive Hilbert's theorem 90 in the ring of algebraic integers ⋮ Algebraicity of the radical in local rings. ⋮ Algebraicity in local rings. ⋮ Integer-valued skew polynomials ⋮ Codes in the Sum-Rank Metric: Fundamentals and Applications