- #1
mathmari
Gold Member
MHB
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Hey! ![Eek! :eek: :eek:](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
Let $R$ be a commutative ring with unit.
I want to show that if $R\neq 0$ such that each finitely generated $R$-module is free then $R$ is field. Could you give me some hints how we could show that? (Wondering)
Let $R$ be a commutative ring with unit.
I want to show that if $R\neq 0$ such that each finitely generated $R$-module is free then $R$ is field. Could you give me some hints how we could show that? (Wondering)