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Dec 10, 2014 at 11:25 comment added mathuser77 @ACL: yes, two different module structures give a counterexample. The question seems quite easy now:)
Dec 10, 2014 at 11:24 vote accept mathuser77
Dec 10, 2014 at 10:58 answer added Alex Degtyarev timeline score: 2
Dec 10, 2014 at 9:50 comment added ACL Take a module $P$ which has two distinct structures of an $R$-module. ($R=P=\mathbf C$ is an acceptable choice.) Then it seems that a bilinear map for the first structure is only balanced for the second one.
Dec 10, 2014 at 9:30 answer added mathuser77 timeline score: 0
Dec 10, 2014 at 8:52 history asked mathuser77 CC BY-SA 3.0