4 Commits

Author	SHA1	Message	Date
arnaucube	15f00f14ff	add lemma 4.6 proof, polish Noether normalization lemma's proof, add aux lemma on integrality implies finiteness	2026-01-04 19:20:43 +01:00
arnaucube	dfd49d1571	port notes on A-algebras & Noether normalization & integral closures (#3) ... * port notes on A-algebras & integral elems * add R.4.3's proof & 4.4 * add Noether normalization proof	2026-01-02 19:33:26 +01:00
arnaucube	8967b2dcc6	complete Noetherian rings/modules notes, add Hilbert basis theorem, some Noetherian exercises (#2) ... * 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
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	2025-12-25 13:02:49 +01:00