Freeness criteria via vanishing of Tor
Mohsen Asgharzadeh, Elham Mahdavi
TL;DR
This paper explores conditions under which the vanishing of the first Tor functor indicates that a module is free, providing insights into module theory and its applications.
Contribution
It introduces criteria linking Tor vanishing to module freeness, offering new theoretical tools in algebra.
Findings
Criteria for module freeness based on Tor vanishing
Applications to module classification
Enhanced understanding of Tor functor implications
Abstract
We investigate some aspects of the module equipped with the property that implies that is free. This has some applications.
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Taxonomy
TopicsRings, Modules, and Algebras · Commutative Algebra and Its Applications · Holomorphic and Operator Theory