descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 1983Publisher:Springer Berlin Heidelberg

Authors: R. S. Pierce; C. I. Vinsonhaler;

doi: 10.1007/978-3-662-21560-9_2 , 10.1007/bfb0103697

Realizing Algebraic Number Fields

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Abstract

In the paper [13], the authors studied the problem of realizing rational division algebras in a special way. Let D be a division algebra that is finite dimensional over the rational field Q. If p is a prime, we say that D is p-realizable when there is a p-local torsion free abelian group A whose rank is the dimension of D over Q, such that D is isomorphic to the quasiendomorphism ring of A.

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