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some question for myself. 1.Classification of prime ideals of $\mathbb{Z}[X]$

2.the number of left maximal ideals of Artinian ring maybe infnite question about semi-local ring and Artin ring.

3.a story of koszul complex. Motivation for Koszul complex

4.where we use the cocylce condition in Gluing sheaves. Details of gluing sheaves on a cover

5.An intuitive approach to the Jordan Normal form.An intuitive approach to the Jordan Normal form

6.bimodule structure in Ext^i_R(M,N) when $R$ is commutative.How do I understand the module structure on Yoneda Ext?

7.Krull intersection theorem.Why is the Artin-Rees lemma used here?

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