IGNOU MTE 6 2026 - Show that M is an ideal of R.

Question

Show that M is an ideal of R.

09 Jan 2026

Answer :

Word Count : 255

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), both (rm) and (mr) are in (M) (for a two-sided ideal). Step 1: (M) is an additive subgroup of

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