Witt rings of fields of formal power series in two variables

Piotr Jaworski

Published: 1986-09-30

Vol. 2 (1986)

Witt rings of fields of formal power series in two variables

Piotr Jaworski

Abstract

Let k be any field of characteristic different from 2, F will denote the ring of formal power series in two variables with coefficients from k and K its field of quotients. The aim of the paper is to investigate the structure of the Witt ring of K— W(K). We shall construct certain exact and split sequences of additive homomorphism. We count special the cases of complex and real
number fields. The results are also valid for rings of Nash series.

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Jaworski, P. (1986). Witt rings of fields of formal power series in two variables. Annales Mathematicae Silesianae, 2, 13–29. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14314

Vol. 2 (1986)
Published: 1986-09-30

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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