Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896406 | Journal of Algebra | 2018 | 20 Pages |
Abstract
We study the Poincaré series of modules over a fiber product of commutative local rings. We introduce the notion of a weak complete intersection ideal; these are the ideals with the property that every differential in their minimal free resolutions can be represented by a matrix whose entries are in the ideal itself. We show that many properties of the Poincaré series that are known to hold for a fiber product over the maximal ideal also hold for those over weak intersection ideals.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Hamidreza Rahmati, Janet Striuli, Zheng Yang,