Word Count : 255

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To show that (M) is an ideal of a ring (R), we need to verify two main properties: 1. (M) is an additive subgroup of (R). 2. (M) absorbs multiplication from (R), i.e., for all (r \in R) and (m \in M), ___ _________ _________ ___ _______ _______ _____ _______ _______ _________.
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