Answer to Question #24902 in Abstract Algebra for jeremy

Question #24902
R is von Neumann regular, prove that: every ideal I of R is idempotent.
1
Expert's answer
2013-02-27T05:53:50-0500
Let I be any ideal of R.For any a ∈ I, we have a ∈ aRa ⊆ I2, so clearly I2 = I,and ideal I of R is idempotent.

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