arnaucube 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
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math/cryptography

Notes, code and documents done while reading books and papers.

mathematics

In-between math & crypto:

cryptography

code

Also some Sage implementations can be found in the *.sage files of this repo. Also some of the algorithms and schemes can be found implemented (mostly in Rust language) in various repositories of the github https://github.com/arnaucube .

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Readme GPL-3.0 38 MiB
Languages
TeX 86.8%
Sage 13.2%