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Jan 3, 2012 at 15:01 comment added Vladimir Dotsenko Sure! Jacobson, Basic algebra II, Sec. 3.8, especially Prop. 3.5. (With $S$ being the ground field $k$.)
Jan 3, 2012 at 13:00 comment added Polarbear Thanks a lot Vladimir. Do you have any reference for this result? (It is just for the sake of completeness)
Jan 3, 2012 at 8:16 history answered Vladimir Dotsenko CC BY-SA 3.0