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A stable range for quadratic forms over commutative rings

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Publication:1369608
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DOI10.1016/S0022-4049(96)00040-0zbMath0886.11020MaRDI QIDQ1369608

Dennis R. Estes, Robert M. Guralnick

Publication date: 8 December 1997

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)


zbMATH Keywords

quadratic formPicard groupRiemann surfaceholomorphic functionBezout domainquadratic stable range


Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12) Picard groups (14C22) Quadratic and bilinear forms, inner products (15A63) Rings and algebras of continuous, differentiable or analytic functions (46E25) Quadratic forms over local rings and fields (11E08)


Related Items (1)

A normal form and schemes of quadratic forms



Cites Work

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  • Similarity of holomorphic matrices
  • The symplectic group over a ring with one in its stable range
  • Module equivalences: Local to global. When primitive polynomials represent units
  • The orthogonal group over a full ring
  • Quadratic forms over semilocal rings
  • Stable range in commutative rings
  • \(K\)-theory and stable algebra
  • The $K_2$ of rings with many units


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