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Nov 23, 2011 at 16:47 vote accept Thomas Kahle
Nov 8, 2011 at 0:22 comment added Gjergji Zaimi I added what I think answers the question for splitting as a map of rings.
Nov 8, 2011 at 0:20 history edited Gjergji Zaimi CC BY-SA 3.0
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Oct 30, 2011 at 18:07 comment added Thomas Kahle Thanks! In most cases being a $k[S]$-module direct summand is what one is interested in. I originally though of a direct summand of rings, is that a meaningful question at all?
Oct 29, 2011 at 18:11 history answered Gjergji Zaimi CC BY-SA 3.0