If a^2=0 in R, show that ax+xa commutes with a. Please show steps. Thanks!
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Originally Posted by mpryal If a^2=0 in R, show that ax+xa commutes with a. Please show steps. Thanks! do you know what "commutes" mean? you have to show that a(ax + xa) = (ax + xa)a it is trivial to show that this is true. just compute each side separately. (do not assume that you have commutativity otherwise).
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