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dfd49d15713686f642c396c976fd5dba3f4b5d4e
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3 Commits

Author SHA1 Message Date
arnaucube
dfd49d1571 port notes on A-algebras & Noether normalization & integral closures (#3) 
* port notes on A-algebras & integral elems

* add R.4.3's proof & 4.4

* add Noether normalization proof
 2026-01-02 19:33:26 +01:00
arnaucube
8967b2dcc6 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
 2025-12-29 21:54:53 +01:00
arnaucube
92a8f27cd2 port initial notes on commutative algebra (ideals, modules, Noetherian rings) (#1) 
* port initial notes on commutative algebra: ideals & modules, Nakayama's lemma, etc

* port notes on Noetherian rings&modules

* add ideals related definitions

* improve Cayley-Hamilton proof (specially determinant trick explanation)

* polishing

* add typos detection

* add some exercises, and proof of Z and K[X} being PID
 2025-12-25 13:02:49 +01:00