About some fundamental theorems of modern algebra.

DOI10.1007/BF02104801zbMath06.0090.02OpenAlexW2007967793MaRDI QIDQ1558590

J. P. Gram

Publication date: 1874

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156639

zbMATH Keywords

variablespowerinvariantdeterminantequationvanishingcoefficientseliminationcovariantpolarternary cubic formlinear substitutionbasic theoremsform systemModern algebrato foundtransformation relations

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Finite rings and finite-dimensional associative algebras (16P10) Forms of degree higher than two (11E76) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Classical propositional logic (03B05) Implicit function theorems, Jacobians, transformations with several variables (26B10) Linear transformations, semilinear transformations (15A04) Analysis of variance and covariance (ANOVA) (62J10) Quadratic and bilinear forms, inner products (15A63) Computational methods for problems pertaining to nonassociative rings and algebras (17-08) Forms over real fields (11E10) Ternary compositions (17A40) Real rational functions (26C15)

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