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
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2025-12-25 13:02:49 +01:00
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commit 92a8f27cd2
10 changed files with 1050 additions and 9 deletions

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@@ -7,6 +7,7 @@ Notes, code and documents done while reading books and papers.
- [Notes on "Abstract Algebra" book, by Charles C. Pinter](abstract-algebra-charles-pinter-notes.pdf)
- [Notes on Weil pairing](weil-pairing.pdf)
- [Notes on Galois Theory](galois-theory-notes.pdf)
- [Notes on Commutative Algebra](commutative-algebra-notes.pdf)
In-between math & crypto: