Idempotent rings which are equivalent to rings with identity IDEMPOTENT RINGS WHICH ARE EQUIVALENT TO RINGS WITH IDENTITY
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Let A be a ring such that A=A2, but which does not necessarily have an identity element. In studying properties of the ring A through prioperties of its modules, it is pointless to consider the category A-MOD of all the left A-modules: for instance, every abelian group ...