100 citations · 107 across the 7 of their papers we have counts for
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Acyclicity versus total acyclicity for complexes over noetherian rings
Srikanth Iyengar, Henning Krause
It is proved that for a commutative noetherian ring with dualizing complex the homotopy category of projective modules is equivalent, as a triangulated category, to the homotopy ca…
Gorenstein dimension of modules over homomorphisms
Lars Winther Christensen, Srikanth Iyengar
Given a homomorphism of commutative noetherian rings R --> S and an S-module N, it is proved that the Gorenstein flat dimension of N over R, when finite, may be computed locally ov…
Gaps in Hochschild cohomology imply smoothness for commutative algebras
Luchezar Avramov, Srikanth Iyengar
The paper concerns Hochschild cohomology of a commutative algebra S, which is essentially of finite type over a commutative noetherian ring K and projective as a K-module, with coe…
Hilbert-Samuel functions of modules over Cohen-Macaulay rings
Srikanth Iyengar, Tony J. Puthenpurakal
For a finitely generated, non-free module over a CM local ring $(R,\fm,k)$, it is proved that for the length of $\tor 1RM{R/\fm^{n+1}}$ is given by a polynomial of deg…
Modules and Cohomology over Group Algebras: One Commutative Algebraist's Perspective
Srikanth Iyengar
This article explains basic constructions and results on group algebras and their cohomology, starting from the point of view of commutative algebra. It provides the background nec…
Finiteness in derived categories of local rings
W. Dwyer, J. P. C. Greenlees, S. Iyengar
New homotopy invariant finiteness conditions on modules over commutative rings are introduced, and their properties are studied systematically. A number of finiteness results for c…