Let A be a commutative ring with 1. An A-module M is said to be finitely generated if there exist m1, ..., mn EM such th

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Let A Be A Commutative Ring With 1 An A Module M Is Said To Be Finitely Generated If There Exist M1 Mn Em Such Th 1 (36.16 KiB) Viewed 19 times

Let A be a commutative ring with 1. An A-module M is said to be finitely generated if there exist m1, ..., mn EM such that M = {amı +...+anmn : a; E A} = a) Prove that A is a finitely generated A-module b) Prove that A" is a finitely generated A-module