Finite regularity and Koszul algebras

By L. Avramov, Irena Peeva. 2001

56 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/edeb652ecb42e7966b94e9dae12cb213bf3a49f9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. M. Rossi
2. Irena Peeva
3. E. D. Negri
4. M. Stillman
5. Aldo Conca
6. Valery Alexeev

In Geometry and Topology

1. M. Rossi
2. M. Stillman
3. Aldo Conca
4. E. D. Negri
5. Irena Peeva
6. Valery Alexeev

Citations in the corpus

• Open Problems on Syzygies and Hilbert Functions (2009, background): “By [9, 12] we have that every graded finitely generated S/I-module has finite regularity if the quotient ring S/I is Koszul (see Section 13 for definition of Koszulness).”
• Koszul Algebras and Regularity (2012, background): “R(M)is finite for every R-module M, (2) regR(K)is finite, (3) R is Koszul. Avramov and Eisenbud proved in [AE] that every module has fini te regularity over a Koszul algebra. Avramov and Peeva showed in [AP] that if regR(K)is finite then it must be 0. Indeed they proved a more general result for graded ”