If A, B, C are ideals of a ring R such that BCA, prove that An (B + C) = B+ (AnC) = (An B) + (AnC).

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Proof with the given statement use main fact
If A, B, C are ideals of a ring R such that BCA,
prove that
An (B + C) =B+ (AnC) = (An B) + (An C).
Transcribed Image Text:If A, B, C are ideals of a ring R such that BCA, prove that An (B + C) =B+ (AnC) = (An B) + (An C).
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