Amitsur cohomology

General Introduction
I think Milne states in his book that Amitsur cohomology captures a fragment of flat cohomology.
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Online References
This Google Books link appears to give the basic definition of Amitsur cohomology, and mentions its description as the Cech cohomology associated to a certain Grothendieck topology.
Page 111 in Selected papers of Amitsur with commentary Google Books link describes Amitsur cohomology as a cohomology associated to a field extension, generalizing Galois cohomology. It seems like it can be described as etale cohomology and/or Cech cohomology, but this is not very clear. It is also described as a cohomology theory for commutative rings.
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Paper References
Last chapter of Dobbs LNM0147
Berkson and McConnell refers to their references 1, 3 and 7 for foundational material on Amitsur cohomology.
There might be a manuscript called Cech and Amitsur cohomology, by Grace Geist Orzech.
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Definition
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Properties
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Standard theorems
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Open Problems
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Connections to Number Theory
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Computations and Examples
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History and Applications
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Some Research Articles
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Other Information
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Comments Posted
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