On Cartesian powers of a rational group
β Scribed by Martin Huber
- Book ID
- 118289541
- Publisher
- Springer-Verlag
- Year
- 1979
- Tongue
- French
- Weight
- 379 KB
- Volume
- 169
- Category
- Article
- ISSN
- 0025-5874
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π SIMILAR VOLUMES
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
## Abstract Let__p__ > __q__ > 1 be two coprime integers. In this paper, we prove several results about subsets of the interval [0, 1) which does or does not contain all the fractional parts {__ΞΎ__ (__p__ /__q__)^__n__^ }, __n__ = 0, 1, 2, β¦, for certain nonβzero real number __ΞΎ__. We show, for ins