Article ID Journal Published Year Pages File Type
8896406 Journal of Algebra 2018 20 Pages PDF
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
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