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notes-archive/docs/math/abstract-algebra/DF-12-modules-pids.md
2025-09-30 13:19:26 -05:00

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# Chapter 12 - Modules over Principal Ideal Domains
## Section 12.1 The Basic Theory
**Definition**. The left $R$-module $M$ is said to be a *Noetherian* $R$-module