Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8966107 | Journal of Pure and Applied Algebra | 2019 | 14 Pages |
Abstract
Let S be a regular local ring or a polynomial ring over a field and I be an ideal of S. Motivated by a recent result of Herzog and Huneke, we study the natural question of whether Im is a Golod ideal for all mâ¥2. We observe that the Golod property of an ideal can be detected through the vanishing of certain maps induced in homology. This observation leads us to generalize some known results from the graded case to local rings and obtain new classes of Golod ideals.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Rasoul Ahangari Maleki,