Year: 2019
Type: preprint
Abstract: Let $R$ be a Cohen-Macaulay local ring possessing a canonical module. We compare the initial and terminal Betti numbers of modules in a series of nontrivial cases. We pay special attention to the Betti numbers of the canonical module. Also, we compute $β_0(ω_{\frac{R}{I}})$ in some cases, where $I$ is a product of two ideals.
Source: arXiv (Cornell University)
Author: Asgharzadeh, Mohsen
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2996550144