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Nov 12, 2009 at 8:34 comment added Simon Wadsley Do you know examples of left Noetherian rings? There are many. I can give some if you would like.
Nov 12, 2009 at 2:15 comment added Orr Shalit Thanks for the answer. Naturally, I did not know of many concrete examples of Ore left domains, either.
Nov 10, 2009 at 18:54 comment added Simon Wadsley I realised on the way home that my brain failed to move the statement of Goldie's theorem from its back to its front correctly. It only applies to semiprime (left) Goldie rings. i.e. there should be no nilpotent ideals.
Nov 10, 2009 at 13:33 comment added Simon Wadsley I just did the check I said I didn't have time for, and yes, the non-zero divisors in a left Goldie ring (and therefore any left Noetherian ring) will be a left-reversible cancellative semigroup
Nov 10, 2009 at 12:51 history answered Simon Wadsley CC BY-SA 2.5