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Suppose I tried to take Hartshorne chapter II and re-do all of it with non-commutative rings rather than commutative rings. Is this possible? Which parts work in the non-commutative setting and which parts don't? Edit: I also welcome any comments/references regarding any reasonable notions whatsoever of "non-commutative algebraic geometry". |
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Non-commutative algebraic geometrySuppose I tried to take Hartshorne chapter II and re-do all of it with non-commutative rings rather than commutative rings. Is this possible? Which parts work in the non-commutative setting and which parts don't?
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