## Macaulay 2

### Summary

Macaulay 2 is a software system devoted to supporting research in

algebraic geometry and commutative algebra, whose development has been

funded by the National Science Foundation.

### Authors

### Links

### Status

only rudimentary information, not officially approved by the authors### Aims and scope

### Mathematical Classification

### Keywords

- algebraic geometry
- Buchberger algorithm
- chain complexes
- combinatorial functions
- commutative algebra
- computer algebra
- elimination of variables
- fibers of a map between varieties
- Gaussian elimination
- Groebner bases
- Hermite normal form
- Hilbert functions
- ideals
- integral Closure of rings
- maps between rings
- matrices
- modules
- normal forms
- rings
- saturation
- solving systems of polynomial equations
- syzygies
- varieties
- Weyl algebras