| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9497171 | Journal of Pure and Applied Algebra | 2005 | 12 Pages |
Abstract
The main result gives lower bounds for the Betti numbers of a module over a regular local ring that is obtained as an extension of one module by another when each module is a direct sum of cyclic modules each of whose annihilators is generated by a system of parameters: there are containment restrictions on the parameter ideals that occur.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Melvin Hochster, Benjamin Richert,