Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584943 | Journal of Algebra | 2014 | 21 Pages |
Abstract
We prove that the fixed ring of the q-division ring kq(x,y) under any finite group of monomial automorphisms is isomorphic to kq(x,y) for the same q. In a similar manner, we also show that this phenomenon extends to an automorphism that is defined only on kq(x,y) and does not restrict to kq[x±1,y±1]. We then use these results to answer several questions posed by Artamonov and Cohn about the endomorphisms and automorphisms of kq(x,y).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Siân Fryer,