Jian
some question for myself. 1.https://math.stackexchange.com/questions/174595/classificationofprimeidealsofmathbbzx
2.the number of left maximal ideals of Artinian ring maybe infnite https://math.stackexchange.com/questions/2452677/questionaboutsemilocalringandartinring
3.a story of koszul complex. https://math.stackexchange.com/questions/159318/motivationforkoszulcomplex/41141
4.where we use the cocylce condition in Gluing sheaves. https://math.stackexchange.com/questions/2367893/detailsofgluingsheavesonacover
5.An intuitive approach to the Jordan Normal form.https://math.stackexchange.com/q/411845/453628
6.bimodule structure in Ext^i_R(M,N) when $R$ is commutative.https://math.stackexchange.com/q/3005619
7.Serre quotient.https://math.stackexchange.com/q/3247686/453628
8.Flat vs faithfully flat.https://math.stackexchange.com/questions/394654/exampleofaflatbutnotfaithfullyflatringextension
9.GL(n,R) is not connected, GL(n,C) is connected.
https://math.stackexchange.com/q/974825/453628
https://math.stackexchange.com/q/121831/453628
https://math.stackexchange.com/q/139549/453628
https://math.stackexchange.com/q/1970651/453628
https://math.stackexchange.com/questions/454320/whenarefiniteindexsubgroupsofaliegrou
subgroup of a lie group with finite index is closed. Zariski topology,by GL(n,C) is open affine variety of M_n(C)=C^{n^2}. C^{n^2} is irreducible, hence GL(n,C) is irreducible and dense. Hence GL(n,C) is connected.
10.graded free is stronger than free https://math.stackexchange.com/q/557402/453628
11.derived categroy of P^1 and derived cat of Kronecker algebra. Why are coherent sheaves on $\Bbb P^1$ derived equivalent to representations of the Kronecker quiver?
12.If $B$ is serre subcategory of abelian category of $A$, then $D(B)\rightarrow D_B(A)$ may be not fully faithful. But this is ture for bounded(Miyachi) Equivalence between a derived subcategory and a subcategory of the derived category https://math.stackexchange.com/q/2670693/453628

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