SCMAlgebras is a Macaulay2 package to check whether a module or an ideal is sequentially Cohen-Macaulay, by checking the modules of deficiency or the filter ideals.
For a more detailed description of the package check out the paper on arXiv.
The functions introduced in the package are listed down below.
| Function | Description |
|---|---|
deficiencyModule(M,i) |
Computes the ith module of deficiency of M |
canonicalModule(M) |
Computes the canonical module of M |
minimumDimension(I) |
Computes the minimum dimension of the ideal I |
filterIdeal(I,i) |
Computes the ith filter ideal of the ideal I |
isSCM(M) |
Checks if M is sequentially Cohen-Macaulay |