I need the characterization (up to isomorphism) of non-commutative local rings (with identity) of orders 64 and 128. If you know the characterization or a reference, please let me know.

  • $\begingroup$ Dear @nikitar: As it stands, in your sentence "... orders 64 and 128 and." it appears you wanted to write at least one more number. Is that correct? On a different note, the tag 'local-rings' might be more appropriate than the tag 'finite-fields'. $\endgroup$ – Ricardo Andrade Sep 9 '13 at 13:47
  • $\begingroup$ @RicardoAndrade The second "and" was a mistype. Thanks for mentioning it. $\endgroup$ – nikitar Sep 9 '13 at 18:00

At the end of the article

A.Z.Anan'in, On representability of a finite local ring, J. of Algebra 228 (2000), no. 2, 417--427 (see also Mathematical Reviews 01i:14018),

it is mentioned that the minimal size of "unknown" finite noncommutative local ring is 256. I mean that one can derive the answer by following constructions presented in the article. Sorry for this incomplete answer: I have no rights to write a comment, whereas a complete answer would require some addtional effort (and I am too lazy for that at the moment).


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.