Real closures of semilocal rings, and extension of real places

DOI10.1090/S0002-9904-1973-13100-3zbMath0254.13006MaRDI QIDQ5668898

Manfred Knebusch

Publication date: 1973

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Quadratic and bilinear forms, inner products (15A63) Local rings and semilocal rings (13H99) General valuation theory for fields (12J20) Galois theory and commutative ring extensions (13B05)

Related Items

Generalization of a theorem of Artin-Pfister to arbitrary semilocal rings, and related topics

Cites Work

• Unnamed Item
• Signatures on semilocal rings
• Zur Pfisterschen Theorie der quadratischen Formen
• The prime ideals of Witt rings
• Grothendieck and Witt rings of Hermitian forms over Dedekind rings
• On the uniqueness of real closures and the existence of real places
• The theory of real places
• Structure of Witt Rings and Quotients of Abelian Group Rings