# Answer to Question #16537 in Algebra for Tsit Lam

Question #16537

Let R = B1 ⊕• • •⊕Bn, where the Bi’s are ideals of R. Show that any left ideal I of R has the form

I = I1 ⊕• • •⊕In

where, for each i, Ii is a left ideal of the ring Bi.

I = I1 ⊕• • •⊕In

where, for each i, Ii is a left ideal of the ring Bi.

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