Homology of the Shafarevich complex and noncommutative complete intersections
Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 1, pp. 85-95
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.
@article{FPM_1999_5_1_a4,
author = {E. S. Golod},
title = {Homology of {the~Shafarevich} complex and noncommutative complete intersections},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {85--95},
year = {1999},
volume = {5},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1999_5_1_a4/}
}
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/