What are the left and right ideals of matrix ring? How about the two sided ideals?
What are the left and right ideals of matrix ring? How about the two sided ideals?
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abstract-algebra
ring-theory
ideals
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1Hint: 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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1Concerning 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