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A diamond lemma for rings?

  1. Nov 26, 2007 #1
    Anyone know that result? Comments? How is it connected to algebra in general and what kind of algebra is it part of? It is obviously about rings but what else is it part of?
  2. jcsd
  3. Nov 26, 2007 #2
    I vaguely remember this from a course on Hopf algebras and quantum groups I followed a long time ago....
  4. Nov 27, 2007 #3
    Aren't what you suggest related to representation theory?

    So the diamond lemma of rings related to representation theory? If so in what ways?
  5. Nov 27, 2007 #4
    I would have to digg up my old notes. We (physics students) were following a course on Hopf algebras intended for physicists. So, the Prof. had to take into account that we don't know a lot about the ordinary algebra stuff. Somewhere in the course this "Diamond Lemma" came up....
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