The function returns two ideals, both to be considered as lists of
monomials. The
first is the system of monomial generators of
, the second
the system of generators of
.
The function returns a list consisting of the ideal given by the
input matrix T if one of the options supp, triang, or
hvect has been activated.
However, in this case some numerical invariants are computed, and
some other data may be contained in files that you can read into
Singular (see showNuminvs, exportNuminvs).
Background:
A discrete monomial valuation on
is determined by
the values of the indeterminates. This function computes the
subalgebra
for several
such valuations , . It needs the matrix
as
its input.
This function simultaneously determines the -submodule
for integers
. (If for all , is an ideal of .)
The numbers form the th column of the input matrix.
Note:
The function also gives an error message if the matrix V has the
wrong number of columns.