Geodesic
Homology of the~Shafarevich complex and noncommutative complete intersections
Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 1, pp. 85-95

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General properties of the Shafarevich complex construction are studied. They are used to provide a proof of the theorem which characterizes non-commutative complete intersections in terms of the homology algebras of Shafarevich complexes. This theorem is a non-commutative analogue of (a generalized version of) the Tate–Assmus theorem on commutative complete intersections. 
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     author = {E. S. Golod},
     title = {Homology of {the~Shafarevich} complex and noncommutative complete intersections},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1999_5_1_a4/}
}
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E. S. Golod. Homology of the~Shafarevich complex and noncommutative complete intersections. Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 1, pp. 85-95. http://geodesic.mathdoc.fr/item/FPM_1999_5_1_a4/