Congruence of symmetric matrices over local rings

DOI10.1016/J.LAA.2009.06.003zbMath1173.15008OpenAlexW2012907810MaRDI QIDQ840669

Fernando Szechtman, Yong-Lin Cao

Publication date: 14 September 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.06.003

zbMATH Keywords

symmetric matrixbilinear formlocal ringmatrix congruence

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Canonical forms, reductions, classification (15A21) Regular local rings (13H05)

Related Items (3)

Quadratic forms and quadrics of space over local rings ⋮ Cogredient standard forms of symmetric matrices over Galois rings of odd characteristic ⋮ Hermitian and skew Hermitian forms over local rings

Cites Work

• A normal form and schemes of quadratic forms
• Kontravariante Formen auf induzierten Darstellungen halbeinfacher Lie-Algebren
• Quadratic forms over semilocal rings
• Quadratic forms of projective spaces over rings
• THE STEINBERG LATTICE OF A FINITE CHEVALLEY GROUP AND ITS MODULAR REDUCTION
• Characterization of Quadratic Forms Over Local Fields

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