Valuation bases for generalized algebraic series fields

Details Valuation bases for generalized algebraic series fields Valuation bases for generalized algebraic series fields

2007-12-26

arxiv.org/abs/0712.4037v1

Mathematics

Commutative Algebra

Scientific paper

We investigate valued fields which admit a valuation basis. Given a countable ordered abelian group G and a real closed, or algebraically closed field F, we give a sufficient condition for a valued subfield of the field of generalized power series F((G)) to admit a K-valuation basis. We show that the field of rational functions F(G) and the field F(G) of power series in F((G)) algebraic over F(G) satisfy this condition. It follows that for archimedean F and divisible G the real closed field F(G) admits a restricted exponential function.

Affiliated with

Also associated with

No associations

Rating

Valuation bases for generalized algebraic series fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Valuation bases for generalized algebraic series fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Valuation bases for generalized algebraic series fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-476773