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Mar 8, 2012 at 18:10 comment added B. Bischof The comment of Mariano and resulting answer by Lars are good. However, you may be interested to look here: mathoverflow.net/questions/56860/…
Mar 8, 2012 at 15:28 answer added Lars timeline score: 4
Mar 8, 2012 at 0:28 comment added Mariano Suárez-Álvarez There is the ring of diferential operators à la Grothendieck, which is infinite dimensional and has elements of all orders. It is an increasing union of matrix rings in the case of the line, though, so it is a bit strange.
Mar 8, 2012 at 0:18 history asked YoungMathematic CC BY-SA 3.0