Abstract
Differential modules are natural generalizations of complexes. In this paper, we study differential modules with complete intersection homology, comparing and contrasting the theory of these differential modules with that of the Koszul complex. We construct a Koszul differential module that directly generalizes the classical Koszul complex and investigate which properties of the Koszul complex can be generalized to this setting.
| Original language | English |
|---|---|
| Pages (from-to) | 151-172 |
| Number of pages | 22 |
| Journal | Journal of Commutative Algebra |
| Volume | 16 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2024 |
Bibliographical note
Publisher Copyright:© Rocky Mountain Mathematics Consortium
Keywords
- complete intersections
- DG-algebras
- differential modules
- Koszul complex
- minimal free resolutions
ASJC Scopus subject areas
- Algebra and Number Theory
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