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Macaulay2Doc :: codim(Module)

codim(Module) -- codimension of the support of a module

Synopsis

Description

Computes the codimension of the support of the module as given by dim(R) - dim(M).
i1 : R = ZZ/101[a..d];
i2 : M = coker matrix{{a,b},{c,d}}

o2 = cokernel | a b |
              | c d |

                            2
o2 : R-module, quotient of R
i3 : codim M

o3 = 1

The returned value is the usual codimension if R is an integral domain or, more generally, equidimensional.

See also