An elementary proof of Gabriel's theorem on degenerate bilinear forms and its generalization.

DOI10.1016/j.jalgebra.2004.05.014zbMath1068.16022OpenAlexW2078475931MaRDI QIDQ1887579

Fernando Szechtman, Dragomir Ž. Djoković

Publication date: 22 November 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.05.014

zbMATH Keywords

semisimple Artinian ringssesquilinear spaces

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Quadratic and bilinear forms, inner products (15A63) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (3)

Equivalence and normal forms of bilinear forms ⋮ Structure of isometry group of bilinear spaces ⋮ Reductivity of the Lie Algebra of a Bilinear Form

Cites Work

• Unnamed Item
• The equivalence of sesquilinear forms
• Appendix: Degenerate bilinear forms

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