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Dec 30, 2017 at 22:50 comment added Hailong Dao I have not digested your question fully, but a couple of comments. First, there is a well-developed notion of separable extension of algebras, I think originated from Auslander-Goldman paper on Brauer groups of commutative rings. Second, if you have some specific questions about tight closure, may be it is better to post them. The theory is mature enough that well-posed questions should have a good chance of being answered.
Dec 30, 2017 at 14:25 review First posts
Dec 30, 2017 at 14:25
Dec 30, 2017 at 14:25 history asked N. Lisa Redding CC BY-SA 3.0