FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1999, VOLUME 5, NUMBER 1, PAGES 85-95

Homology of the Shafarevich complex and noncommutative complete intersections

E. S. Golod

Abstract

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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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Last modified: April 27, 1999