# On the behaviour of Brauer p-dimensions under finitely-generated field extensions ∗

@inproceedings{Chipchakov2014OnTB, title={On the behaviour of Brauer p-dimensions under finitely-generated field extensions ∗}, author={I. D. Chipchakov}, year={2014} }

- Published 2014

The present paper shows that if q ∈ P or q = 0, where P is the set of prime numbers, then there exist characteristic q fields Eq,k : k ∈ N, of Brauer dimension Brd(Eq,k) = k and infinite absolute Brauer pdimensions abrdp(Eq,k), for all p ∈ P not dividing q − q. This ensures that Brdp(Fq,k) = ∞, p†q−q, for every finitely-generated transcendental extension Fq,k/Eq,k. We also prove that each sequence ap, bp, p ∈ P, satisfying the conditions a2 = b2 and 0 ≤ bp ≤ ap ≤ ∞, equals the sequence abrdp(E… CONTINUE READING

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