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
โฆ LIBER โฆ
Generalized rational identities of power series rings
โ Scribed by Jerry D Rosen; Mary Peles Rosen
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 383 KB
- Volume
- 103
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
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For an integral domain D and a torsion-free cancellative strictly subtotally ลฝ . ww S, F xx ordered monoid S, F , it is shown that the generalized power series ring D is a Krull domain if and only if D is a Krull domain and S is a Krull monoid.