I just took a look at the nlab entry: Nikolai Durov. It seems that Skoda ever mentioned that what Durov introduced was special case of generalized scheme theory. Because I did not read his dissertation carefully neither completely. I wonder ask whether his "generalized scheme" is special case of noncommutative scheme in the sense of A.Rosenberg.

I will give a talk on noncommutative scheme in a few days. Now I am collecting interesting examples of noncommutative schemes(quasi scheme). Examples that I already knew are:

commutative schemes, D-modules, quantum D-modules, almost schemes by Gabber, general Grothendieck category(abelian category), Artin-Zhang noncommutative projective scheme. Quantum flag variety in the sense of Rosenberg and Lunts. Holonomic D-modules.

Thanks!

I just took a look at the nlab entry: Nikolai Durov. It seems that Skoda never mentioned that what Durov introduced was a special case of generalized scheme theory. I did not read his dissertation carefully or completely. I wonder whether his "generalized scheme" is a special case of noncommutative scheme in the sense of A. Rosenberg.

I will give a talk on noncommutative schemes in a few days. Now I am collecting interesting examples of noncommutative schemes  (quasi schemes). Examples that I already know are:

commutative schemes; D-modules; quantum D-modules; almost schemes by Gabber; general Grothendieck category  (abelian category); Artin-Zhang noncommutative projective schemes; quantum flag variety in the sense of Rosenberg and Lunts; holonomic D-modules.

Thanks!