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PP-Rings of Generalized Power Series

✍ Scribed by Zhongkui Liu; Javed Ahsan

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2000
Tongue
English
Weight
139 KB
Volume
16
Category
Article
ISSN
1439-7617

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πŸ“œ SIMILAR VOLUMES

Algebraic properties of rings of general
Algebraic properties of rings of generalized power series
✍ Daniel Pitteloud πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 242 KB

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

Semisimple Rings and Von Neumann Regular
Semisimple Rings and Von Neumann Regular Rings of Generalized Power Series
✍ Paulo Ribenboim πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 213 KB

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