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7.7.6.0. ivDHilbert
Procedure from library fpadim.lib (see fpadim_lib).
- Usage:
- ivDHilbert(L,n[,degbound]); L a list of intmats, n an integer,
degbound an optional integer
- Return:
- list
- Purpose:
- Computing the K-dimension and the Hilbert series
- Assume:
- - basering is a Letterplace ring
- all rows of each intmat correspond to a Letterplace monomial
for the encoding of the variables see the overview
- if you specify a different degree bound degbound,
degbound <= attrib(basering,uptodeg) should hold.
- Note:
- - If L is the list returned, then L[1] is an integer corresponding to the
dimension, L[2] is an intvec which contains the coefficients of the
Hilbert series
- If degbound is set, there will be a degree bound added. By default there
is no degree bound
- n is the number of variables
- If I = L[2] is the intvec returned, then I[k] is the (k-1)-th coefficient of
the Hilbert series.
- If the K-dimension is known to be infinite, a degree bound is needed
Example:
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