On a decomposition of the Witt group into direct sum of cyclic groups
Abstract
In the paper it is shown that the Witt group of the rational function field in countably many variables over a real-closed field can be decomposed into direct sum of cyclic groups. This is an example that the sufficient conditions given in [3] are not necessary.
References
1. L. Fuchs, Infinite Abelian groups. Academic Press, New York and London 1970 (russian translation: "Mir", Moscow 1974).
2. W. Scharlau, Quadratic and Hermitian forms, Springer Verlag, Berlin, Heidelberg, New York 1985.
3. K. Szymiczek, Formy kwadratowe nad ciałami, Prace Naukowe Uniwersytetu Śląskiego w Katowicach 134, Katowice 1976.
2. W. Scharlau, Quadratic and Hermitian forms, Springer Verlag, Berlin, Heidelberg, New York 1985.
3. K. Szymiczek, Formy kwadratowe nad ciałami, Prace Naukowe Uniwersytetu Śląskiego w Katowicach 134, Katowice 1976.
KoziołK. (1992). On a decomposition of the Witt group into direct sum of cyclic groups. Annales Mathematicae Silesianae, 6, 7-8. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14260
Krzysztof Kozioł
Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
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