If A is an abelian group and n > 0 an integer such that na = 0

Question:

If A is an abelian group and n > 0 an integer such that na = 0 for all a ϵ A, then A is a unitary Zn-module, with the action of Zn on A given by K̅a = ka, where k ϵ Z and k|→ K̅ ϵ Zn under the canonical projection Z → zn.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: