7 citations · 14 across the 10 of their papers we have counts for
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math.AC2006
Rigid Complexes via DG Algebras
Amnon Yekutieli, James J. Zhang
Let A be a commutative ring, B a commutative A-algebra and M a complex of B-modules. We begin by constructing the square Sq_{B/A} M, which is also a complex of B-modules. The squar…
math.RA2006★ 7 cited
Dualising complexes and twisted Hochschild (co)homology for noetherian Hopf algebras
Kenneth A. Brown, James J. Zhang
We show that many noetherian Hopf algebras A have a rigid dualising complex R with R isomorphic to ^νA^1 [d]. Here, d is the injective dimension of the algebra and νis a certain k-…
math.AG2006
Rigid Dualizing Complexes over Commutative Rings
Amnon Yekutieli, James J. Zhang
In this paper we present a new approach to Grothendieck duality over commutative rings. Our approach is based on the idea of rigid dualizing complexes, which was introduced by Van…