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Jul 4, 2010 at 1:24 comment added Jamie Vicary Hi Robin, thanks for your comment. The concrete question is simply whether knowledge of the subdirect decomposition of a semiprimitive ring can be helpful in understanding the full representation theory of the ring. This question has been more than a little prompted by the Wikipedia article --- not that I give Wikipedia articles more weight than they are due! --- which states "a semiprimitive ring is a type of ring ... where simple modules still provide enough information about the ring".
Jul 3, 2010 at 18:32 history answered Robin Chapman CC BY-SA 2.5