complete Noetherian rings/modules notes, add Hilbert basis theorem, some Noetherian exercises (#2)

* add proof for split exact sequences

* port exercise R.2.9

* Noetherian rings: add ex. 3.2 & 3.5

* Hilbert basis theorem, Noetherian module properties

* add Noetherian exercises 3.3 & 3.4
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2025-12-29 21:54:53 +01:00
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5 changed files with 432 additions and 13 deletions

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