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

Voir la notice de l'article provenant de la source Cambridge University Press

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
@article{10_4153_CMB_1988_038_7,
     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/}
}
TY  - JOUR
AU  - Leep, David
AU  - Marshall, Murray
TI  - Isomorphisms and Automorphisms of Witt Rings
JO  - Canadian mathematical bulletin
PY  - 1988
SP  - 250
EP  - 256
VL  - 31
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-038-7/
DO  - 10.4153/CMB-1988-038-7
ID  - 10_4153_CMB_1988_038_7
ER  - 
%0 Journal Article
%A Leep, David
%A Marshall, Murray
%T Isomorphisms and Automorphisms of Witt Rings
%J Canadian mathematical bulletin
%D 1988
%P 250-256
%V 31
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-038-7/
%R 10.4153/CMB-1988-038-7
%F 10_4153_CMB_1988_038_7

[1] 1. Arason, J. and Pfister, A., Beweis des Krullschen Durchschnittsatzes fur der Wittring, Invent. Math. 12(1971), pp. 173–176. Google Scholar

[2] 2. Cordes, C. M., The Witt group and equivalence of fields with respect to quadratic forms, J. Algebra 26 (1973), pp. 400–421. Google Scholar

[3] 3. Harrison, D. K., Witt rings, lecture notes, Department of Mathematics, University of Kentucky, Lexington (1970). Google Scholar

[4] 4. Lam, T. Y., The algebraic theory of quadratic forms, Benjamin, New York (1973). Google Scholar

[5] 5. Marshall, M., Exponentials and logarithms on Witt rings, Pac. J. of Math. 127 (1) (1987), pp. 127–140. Google Scholar

[6] 6. Marshall, M., Abstract Witt Rings, Queen's Papers in Pure and Applied Math. 57, Queen's University, Kingston, Ontario (1980). Google Scholar

[7] 7. Marshall, M. and Yucas, J., Linked quaternionic mappings and their associated Witt rings, Pac. J. of Math. 95 (2) (1981), pp. 411–425. Google Scholar

Cité par Sources :