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Formal power series over Cartesian groups and their spaces of orderings

✍ Scribed by Franz Kalhoff

Publisher
Springer
Year
1990
Tongue
English
Weight
709 KB
Volume
36
Category
Article
ISSN
0046-5755

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✦ Synopsis

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 over proper quasifields, proper nearfields, and proper semifields.

πŸ“œ SIMILAR VOLUMES

Homology of classical groups over finite
Homology of classical groups over finite fields and their associated infinite loop spaces: Z. Fiedorowicz and S. Priddy, Springer, 1978, 434 pp.
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