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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
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arnaucube
2025-12-25 13:02:49 +01:00
committed by GitHub
parent 7531c358e1
commit 92a8f27cd2
10 changed files with 1050 additions and 9 deletions
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10
.github/workflows/typos.toml vendored Normal file
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@@ -0,0 +1,10 @@
[default.extend-words]
thm = "thm"
# equations stuff
ba = "ba"
nd = "nd"
# names
Strang = "Strang"
Bootle = "Bootle"