104 citations · 422 across the 81 of their papers we have counts for
4 papers · 1 filter
Free resolutions over short local rings
Luchezar L. Avramov, Srikanth B. Iyengar, Liana M. Sega
The structure of minimal free resolutions of finite modules M over commutative local rings (R,m,k) with m^3=0 and rank_k(m^2) < rank_k(m/m^2)is studied. It is proved that over gene…
Gorenstein algebras and Hochschild cohomology
L. L. Avramov, S. Iyengar
For homomorphism K-->S of commutative rings, where K is Gorenstein and S is essentially of finite type and flat as a K-module, the property that all non-trivial fiber rings of K-->…
Constructing modules with prescribed cohomological support
Luchezar L. Avramov, Srikanth B. Iyengar
A cohomological support, Supp_A(M), is defined for finitely generated modules M over an left noetherian ring R, with respect to a ring A of central cohomology operations on the der…
Local cohomology and support for triangulated categories
Dave Benson, Srikanth B. Iyengar, Henning Krause
We propose a new method for defining a notion of support for objects in any compactly generated triangulated category admitting small coproducts. This approach is based on a constr…