Witt rings of LG-rings

DOI10.1016/S0019-3577(98)80019-0zbMath0921.11019OpenAlexW1967142421MaRDI QIDQ1279782

Ires Dias, Artibano Micali

Publication date: 4 May 1999

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(98)80019-0

zbMATH Keywords

ordersquadratic formssignaturesminimal prime idealsGalois ring extensionsLG-ringsWitt ring of bilinear forms over a ringWitt ring of quadratic forms over a ring

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Local rings and semilocal rings (13H99) Galois theory and commutative ring extensions (13B05) Quadratic forms over local rings and fields (11E08)

Cites Work

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• An introduction to real algebra
• Module equivalences: Local to global. When primitive polynomials represent units
• Quadratic forms over semilocal rings
• Signatures on semilocal rings
• On prime ideals of a Witt ring over a local ring
• Projective Modules Over Rings with Many Units
• Real closures of commutative rings. I.
• Structure of Witt Rings and Quotients of Abelian Group Rings

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