On the zeros of polynomials over arbitrary finite dimensional algebras

DOI10.1007/BF01168049zbMath0425.17001OpenAlexW2321926994MaRDI QIDQ1135345

Helmut Röhrl

Publication date: 1978

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154573

zbMATH Keywords

zeros of polynomialssimple algebrassemi-simple Lie algebrasgeneric algebrasemi-simple associative algebrassemi-simple Jordan algebras

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Nonassociative algebras satisfying other identities (17A30)

Related Items (11)

ON THE ZEROS OF POLYNOMIALS OVER QUATERNIONS ⋮ Endomorphisms and null subalgebras of finite dimensional algebras ⋮ A review on octupolar tensors ⋮ On the fundamental theorem of algebra for polynomial equations over real composition algebras ⋮ Separable polynomials over finite dimensional algebras ⋮ Higher order normal modes ⋮ A new method for roots of monic quaternionic quadratic polynomial ⋮ On Multiplication Algebras ⋮ Polynomial Algebras Have Polynomial Growth ⋮ Eigenvectors of tensors -- a primer ⋮ On the multiplicity of zeros of polynomials over arbitrary finite dimensional k-algebras

Cites Work

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• Subalgebras that are cyclic as submodules
• Conjugates in Division Rings
• Quadratic Division Algebras
• On the Zeros of Polynomials over Division Rings
• The “fundamental theorem of algebra” for quaternions

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