We introduce formal power series over Cartesian groups on arbitrary, ordered loops, and show that, under a weak additional hypothesis, their spaces of orderings (in the sense of M. Marshall) are as in the classical case. In particular, we obtain that any classical space of orderings can be realized
โฆ LIBER โฆ
Cartesian groups, formal power series and Hjelmslev-planes
โ Scribed by Arno Cronheim
- Book ID
- 112499527
- Publisher
- Springer
- Year
- 1976
- Tongue
- English
- Weight
- 622 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0003-889X
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Let R be a commutative ring with 1, and let R = t + t 2 Rอ tอก be the group of normalized formal power series over R under substitution. In this paper we investigate the connection between the ideal structure of R and the normal subgroup structure of R . In particular, we show that, if K is a finite f