Free algebras in division rings with an involution

JOURNAL OF ALGEBRA

卷:509

Article

Ferreira, Vitor O.¹  Fornaroli, Erica Z.²  Goncalves, Jairo Z.¹ 

[1] Univ Sao Paulo, Dept Math, BR-05508090 Sao Paulo, Brazil

[2] Univ Estadual Maringa, Dept Math, BR-87020900 Maringa, Parana, Brazil

关键词: Free associative algebras;    Field of fractions of group algebras;    Involutions;    Symmetric elements;   

DOI  :  10.1016/j.jalgebra.2018.01.025

来源: Elsevier

【 摘 要 】

Some general criteria to produce explicit free algebras inside the division ring of fractions of skew polynomial rings are presented. These criteria are applied to some special cases of division rings with natural involutions, yielding, for instance, free subalgebras generated by symmetric elements both in the division ring of fractions of the group algebra of a torsion free nilpotent group and in the division ring of fractions of the first Weyl algebra. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free