# Commutative Algebra and Its Applications

**Type:** Topics  
**Canonical URL:** https://scholariq.org/topics/commutative-algebra-and-its-applications/

## Facts

| Field | Value |
| --- | --- |
| Citations | 212,578 |
| Description | This cluster of papers focuses on the algebraic properties of monomial ideals, including their graded Betti numbers, local cohomology modules, symbolic powers, edge ideals, Cohen-Macaulay modules, Stanley depth, toric algebra, regularity bounds, and their connections to combinatorial topology. |
| Domain | Physical Sciences |
| Field | Mathematics |
| OpenAlex ID | https://openalex.org/T12069 |
| Works | 26,837 |

## Topic researchers

Showing 12 of 20.

- [Adi Shamir](https://scholariq.org/researchers/adi-shamir/)
- [Qing Liu](https://scholariq.org/researchers/qing-liu/)
- [Michael Atiyah](https://scholariq.org/researchers/michael-atiyah/)
- [Stephen T. Smale](https://scholariq.org/researchers/stephen-t-smale/)
- [Éva Tardos](https://scholariq.org/researchers/eva-tardos/)
- [Leslie G. Valiant](https://scholariq.org/researchers/leslie-g-valiant/)
- [Richard P. Stanley](https://scholariq.org/researchers/richard-p-stanley/)
- [David Mumford](https://scholariq.org/researchers/david-mumford/)
- [Vladimir I. Arnold](https://scholariq.org/researchers/vladimir-i-arnold/)
- [Bernd Sturmfels](https://scholariq.org/researchers/bernd-sturmfels/)
- [Joseph H. Silverman](https://scholariq.org/researchers/joseph-h-silverman/)
- [Janós Kollár](https://scholariq.org/researchers/janos-kollar/)

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Source: ScholarIQ — public research metadata, principally OpenAlex. See https://scholariq.org/sources/ for provenance and https://scholariq.org/methodology/ for what these figures mean.