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Warianty tytułu
Języki publikacji
Abstrakty
The problem of general description of the group of automorphisms of any Witt ring W seems to be very difficult to solve. However, there are many types of Witt rings, which automorphism are described precisely (e.g. [1], [2], [4], [5], [6],[7], [8]). In our paper we characterize automorphisms of abstract Witt rings (cf. [3]) isomorphic to powers of Witt rings of quadratic forms with coefficients in finite fields with characteristic different from 2.
Rocznik
Tom
Strony
67--70
Opis fizyczny
Bibliogr. 8 poz.
Twórcy
autor
- Kielce University of Technology al. Tysiąclecia Państwa Polskiego 7, 25-314 Kielce, Poland
Bibliografia
- [1] R. Baeza, R. Moresi. On the Witt-equivalence of fields of characteristic 2. Journal of Algebra, 92, 446-453, 1985.
- [2] A. Czogała. On reciprocity equivalence of quadratic number fields. Acta Arithmetica, 58, No. 1, 27-46, 1981.
- [3] M. Marshall. Abstract Witt Rings. Queen's Papers in Pure and Applied Math., 57, Queen's University, Ontario 1980.
- [4] R. Perlis, K. Szymiczek, P.E. Conner, R. Litherland. Matching Witts with global fields. In: W.B. Jacob, T.-Y. Lam, R.O. Robson (Eds.), Recent Advances in Real Algebraic Geometry and Quadratic Forms, (Proceedings of the RAGSQUAD Year, Berkeley 1990-1991), Contemporary Mathematics, 155, 365-387, Amer. Math. Soc. Providence, Rhode Island 1994.
- [5] M. Stępień. Automorphisms of products of Witt rings of local type. Acta Mathematica et Informatica Universitatis Ostraviensis, 10, 125-131, 2002.
- [6] M. Stępień. Automorphisms of Witt rings of elementary type. Mathematica. Proc. XIth Slovak-Polish-Czech Mathematical School, Catholic University in Ruzomberok, 10, 62-67, 2004.
- [7] M. Stępień. A construction of infinite set of rational self-equivalences. Scientific Issues, Jan Długosz University in Częstochowa, Mathematics, XIV, 117-132, 2009.
- [8] R. Ware. Automorphisms of Pythagorean fields and their Witt rings. Commutative Algebra, 17, No. 4, 945-969, 1989.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-cdd9fe52-24a4-4675-8fa4-998e39b71ab0