Title: Residue Complexes over Noncommutative Rings
Authors: Amnon Yekutieli and James J. Zhang

Publication status: Journal of Algebra 259 (2003) 451–493

Residue complexes were introduced by Grothendieck in algebraic
geometry. These are canonical complexes of injective modules that
enjoy remarkable functorial properties (traces).

In this paper we study residue complexes over noncommutative
rings. These objects are even more complicated than in the
commutative case, since they are complexes of bimodules. We
develop methods to prove uniqueness, existence and functoriality
of residue complexes.

For a noetherian affine PI algebra over a field (admitting a
noetherian connected filtration) we prove existence of the residue
complex and describe its structure in detail.


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updated 26 Jan 2015