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What are the left and right ideals of matrix ring? How about the two sided ideals?

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    Hint: as a left module over itself, the matrix ring decomposes into a direct sum of copies of the module of column vectors.2011-03-13
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    Concerning twosided ideals: try taking a non-zero matrix and multiply from the left and from the right with varius matrices. See what you can get this way.2011-03-13

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