A comment on the structure of graded modules over graded principal ideal domains in the context of persistent homology
Abstract
The literature in persistent homology often refers to a "structure theorem for finitely generated graded modules over a graded principal ideal domain". We clarify the nature of this structure theorem in this context.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2023
- DOI:
- arXiv:
- arXiv:2301.11756
- Bibcode:
- 2023arXiv230111756L
- Keywords:
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- Mathematics - Commutative Algebra;
- Computer Science - Computational Geometry;
- Mathematics - Algebraic Topology
- E-Print:
- 10 pages