Linkage and the basic part of Witt rings
Abstract
We prove that the Yucas quaternionic mapping (considered in [6]) satisfies BG = X3(a) for any a∈BG. We also give examples of a quaternionic mapping which satisfies BG = X2(a) for any a∈BG but not (L) and a quaternionic mapping which satisfies BG = X1(a) for any a∈BG but not (L).
References
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2. A. Iwan, Cz. Wowk, Basic part of Witt rings of elementary type. Comment. Math. Prace Mat. 28 (1988), 257-263.
3. M. Marshall, Abstract Witt rings, Queen's papers in pure and applied math. no. 57, Kingston, Ontario 1980.
4. M. Marshall, J.L. Yucas, Linked quaternionic mappings and their associated Witt rings, Pacific J. Math. 95 (1981), 411-425.
5. K. Szymiczek, Structure of the basic part of a field, J. Algebra 99, 2 (1986), 422-429.
6. J.L. Yucas, Linkage and the basic part of Witt rings, Ann. Math. Sil. 5 (1991), 7-9.
SkrzypkowskaE., & WowkC. (1992). Linkage and the basic part of Witt rings. Annales Mathematicae Silesianae, 6, 9-12. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14261
E. Skrzypkowska
Instytut Matematyki, Uniwersytet Szczeciński Poland
Instytut Matematyki, Uniwersytet Szczeciński Poland
Czesław Wowk
Instytut Matematyki, Uniwersytet Szczeciński Poland
Instytut Matematyki, Uniwersytet Szczeciński Poland
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