55
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Finite Generation of the Group of Eigenvalues for Sets of Derivations or Automorphisms of Division Algebras

Pages 2195-2201 | Received 12 Mar 2007, Published online: 12 Jun 2008

REFERENCES

  • Bavula , V. V. ( 2005 ). Gelfand–Kirillov dimension of commutative subalgebras of simple infinite dimensional algebras and their quotient division algebras . J. Reine Angew. Math. 582 : 61 – 85 .
  • Goodearl , K. R. , Warfield , R. B. , Jr . ( 1989 ). An Introduction to Noncommutative Noetherian Rings . Cambridge : Cambridge University Press .
  • McConnell , J. C. , Robson , J. C. (2001). Noncommutative Noetherian Rings . With the cooperation of L. W. Small. Revised edition. Graduate Studies in Mathematics, 30. Providence , RI : American Mathematical Society.
  • Resco , R. , Small , L. W. , Wadsworth , A. R. ( 1979 ). Tensor products of division rings and finite generation of subfields . Proc. Amer. Math. Soc. 77 ( 1 ): 7 – 10 .
  • Smith , M. ( 1973 ). Centralizers in rings of quotients of group rings . J. Algebra 25 : 158 – 164 .
  • Sweedler , M. E. ( 1980 ). Tensor products of division rings and finite generation of subdivision rings . 8 ( 2–3 , part 2 ): 385 – 387 .
  • Vamos , P. ( 1978 ). On the minimal prime ideal of a tensor product of two fields . Math. Proc. Cambridge Philos. Soc. 84 ( 1 ): 25 – 35 .
  • Communicated by V. A. Artamonov.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.