38228a34ff
improve Weak Nullstellensatz - Zariski's lemma proof, add chapter 4 exercises ( #5 )
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- improve Weak Nullstellensatz - Zariski's lemma proof
- add chapter 4 exercises
2026-01-17 16:17:49 +01:00
bafd55f27f
Noether normalization & weak nullstellensatz thm ( #4 )
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* add lemma 4.6 proof, polish Noether normalization lemma's proof, add aux lemma on integrality implies finiteness
* add weak nullstellensatz theorem and proof
2026-01-11 22:35:04 +01:00
dfd49d1571
port notes on A-algebras & Noether normalization & integral closures ( #3 )
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* 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
8967b2dcc6
complete Noetherian rings/modules notes, add Hilbert basis theorem, some Noetherian exercises ( #2 )
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* 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
92a8f27cd2
port initial notes on commutative algebra (ideals, modules, Noetherian rings) ( #1 )
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* 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
