Talk:Quasi-Frobenius ring

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General recommendations[edit]

Hi, I'm aware this page needs many additions. The definition section I think is long enough, but there is plenty of room for compartmentalized sections. If anyone can help contribute new sections on the following topics, that would be great:

  • the Nakayama permutation
  • characterization in terms of annihilator conditions
  • QF rings have self-duality
  • characterization in terms of (semi)reflexive modules
  • lots more I'm sure I've forgotten. Rschwieb (talk) 17:20, 10 May 2011 (UTC)[reply]

Just a remark : Under "Notes", it says that QF rings have the property that all their modules can be embedded in a free one. This can be misleading because this is true for all rings in fact (not very efficiently) by taking the free module on all the elements. — Preceding unsigned comment added by BogdanGhe (talkcontribs) 03:30, 22 September 2013 (UTC)[reply]