This article is cited in 5 papers

Homology of the Shafarevich complex and noncommutative complete intersections

E. S. Golod

M. V. Lomonosov Moscow State University

Abstract: 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.

UDC: 512.664.2

Received: 01.04.1998

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