2 citations · 3 across the 3 of their papers we have counts for
4 papers
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…
Homology over local homomorphisms
Luchezar L. Avramov, Srikanth Iyengar, Claudia Miller
The notions of Betti numbers and of Bass numbers of a finite module N over a local ring R are extended to modules that are only assumed to be finite over S, for some local homomorp…
Andre-Quillen homology of algebra retracts
L. L. Avramov, S. Iyengar
Given a homomorphism of commutative noetherian rings , Daniel Quillen conjectured in 1970 that if the Andre-Quillen homology functors vanish for all $n \gg…
Locally complete intersection homomorphisms and a conjecture of Quillen on the vanishing of cotangent homology
Luchezar L. Avramov
Classical definitions of locally complete intersection (l.c.i.) homomorphisms of commutative rings are limited to maps that are essentially of finite type, or flat. The concept int…