SOLVE STEP BY STEP SOLVE STEP BY STEP PLEASE VVvvVVVVVvVVVvvVvvvvvvvVVVVVVvVVvvvvvvvyvvvvvvyvvv Let A be a commutative ring with 1. An A-module M is said to be finitely generated if there exist m1,..., m, € M such that M = {a1m1 + .+ a,m, : a; € A} a) Prove that A is a finitely generated A-module b) Prove that A" is a finitely generated A-module
SOLVE STEP BY STEP SOLVE STEP BY STEP PLEASE VVvvVVVVVvVVVvvVvvvvvvvVVVVVVvVVvvvvvvvyvvvvvvyvvv Let A be a commutative ring with 1. An A-module M is said to be finitely generated if there exist m1,..., m, € M such that M = {a1m1 + .+ a,m, : a; € A} a) Prove that A is a finitely generated A-module b) Prove that A" is a finitely generated A-module
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.4: Maximal Ideals (optional)
Problem 13E
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