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