On t-closedness of generalized power series rings
β Scribed by Hwankoo Kim
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 100 KB
- Volume
- 166
- Category
- Article
- ISSN
- 0022-4049
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π SIMILAR VOLUMES
The ΓΏelds K((G)) of generalized power series with coe cients in a ΓΏeld K and exponents in an additive abelian ordered group G play an important role in the study of real closed ΓΏelds. The subrings K((G 60 )) consisting of series with non-positive exponents ΓΏnd applications in the study of models of
In this paper we continue our investigation of generalized power series. The main theorem determines rings of generalized power series which are Von Neumann regular rings and semisimple rings. In the final section we give a new proof of Neumann's theorem on skewfields of generalized power series wit