Geodesic
Amitsur Cohomology in Additive Functors
Canadian mathematical bulletin, Tome 16 (1973) no. 3, pp. 417-426

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Let L/k be a Galois extension of fields with group G and let A be the category of k-algebras isomorphic to finite products of finite field subextensions of L/k. It is known that, with appropriately defined covers, A is dual to the underlying category of a Grothendieck topology T [5, Ch. I, Theorem 4.2] and that (strict) cohomological dimension of G may be characterized via TCech cohomology with coefficients in either additive (product-preserving) functors or sheaves [5, Ch. I, Theorems 4.3 and 5.9]. 
Dobbs, David E. Amitsur Cohomology in Additive Functors. Canadian mathematical bulletin, Tome 16 (1973) no. 3, pp. 417-426. doi: 10.4153/CMB-1973-065-2
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     title = {Amitsur {Cohomology} in {Additive} {Functors}},
     journal = {Canadian mathematical bulletin},
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     year = {1973},
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     number = {3},
     doi = {10.4153/CMB-1973-065-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1973-065-2/}
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