bd0d2543e7
add Noether normalization proof
2026-01-02 19:32:10 +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
7531c358e1
galois notes: port notes till chapter 14
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- port chapter 14's notes
- add pending notes for ch 5 to 12
- add Rolle's theorem
2025-12-14 23:05:12 +01:00
6593857e91
galois-notes.tex: detour, isomorphism theorems
2025-10-19 16:57:48 +02:00
561324be5a
galois notes: add cyclotomic polynomials notes
2025-10-05 11:33:01 +02:00
348300f108
extend Galois Theory notes: add various 'tools'(useful theorems that don't appear in the book), add t^6-7\in Q example
2025-09-21 17:45:55 +02:00
b976b6329a
add initial version of galois-theory-notes.tex
2024-04-28 10:21:32 +02:00
