Let and be ideals in a ring with . Prove that is an ideal in the quotient ring . Closure under subtraction follows from the fact that is an ideal. Suppose and . Then since is an ideal. Likewise, . So the result follows. Is this correct?
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Originally Posted by Sampras Let and be ideals in a ring with . Prove that is an ideal in the quotient ring . Closure under subtraction follows from the fact that is an ideal. Suppose and . Then since is an ideal. Likewise, . So the result follows. Is this correct? Yes, it seems it is. But that J above must be K...right? Tonio
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