Geodesic
Isomorphisms and Automorphisms of Witt Rings
Canadian mathematical bulletin, Tome 31 (1988) no. 2, pp. 250-256

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DOI

For a field F, char(F) ≠ 2, let WF denote the Witt ring of quadratic forms of F and let denote the multiplicative group of 1-dimensional forms It follows from a construction of D. K. Harrison that if E, F are fields (both of characteristic ≠ 2) and ρ.WE → WF is a ring isomorphism, then there exists a ring isomorphism which “preserves dimension” in the sense that In this paper, the relationship between ρ and is clarified.
DOI : 10.4153/CMB-1988-038-7
Mots-clés : 10C05, 10C03 
Leep, David; Marshall, Murray. Isomorphisms and Automorphisms of Witt Rings. Canadian mathematical bulletin, Tome 31 (1988) no. 2, pp. 250-256. doi: 10.4153/CMB-1988-038-7
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     author = {Leep, David and Marshall, Murray},
     title = {Isomorphisms and {Automorphisms} of {Witt} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {250--256},
     year = {1988},
     volume = {31},
     number = {2},
     doi = {10.4153/CMB-1988-038-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-038-7/}
}
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