5e08a390b9
port Nullstellensatz & Varieties notes (ch5) ( #6 )
...
* 5.1, Corollary 5.2
* variety def, Nullstellensatz proof, correspondences V - I
* port notes on propositions 5.3, 5.7, 5.8
* add missing conclusion at proposition 5.3
2026-01-25 22:04:47 +01:00
bafd55f27f
Noether normalization & weak nullstellensatz thm ( #4 )
...
* 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
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
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
