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7.7.6.0. lpDHilbert
Procedure from library fpadim.lib (see fpadim_lib).
- Usage:
- lpDHilbert(G[,degbound,n]); G an ideal, degbound, n optional integers
- Return:
- list
- Purpose:
- Computing K-dimension and Hilbert series, starting with a lp-ideal
- Assume:
- - basering is a Letterplace ring. G is a Letterplace ideal.
- 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. 0 means no
degree bound. Default: attrib(basering,uptodeg).
- n can be set to a different number of variables.
Default: n = attrib(basering, lV).
- 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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