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RegularChains[ChainTools][IsPrimitive] - test if a regular chain is primitive
Calling Sequence
IsPrimitive(T, R)
Parameters
T
-
regular chain of R
R
polynomial ring
Description
The command IsPrimitive(T, R) returns true if T is primitive; false otherwise.
If the regular chain T is primitive then the ideal generated by T equals the saturated ideal of T.
For the definition of primivity and the algorithm, see the paper "When does T equal sat(T)?" by Francois Lemaire, Marc Moreno Maza, Wei Pan and Yuzhen Xie, 2008.
Examples
See Also
IsIncluded, IsInSaturate , RegularChains
References
Lemaire, F.; Moreno Maza, M.; Pan, W.; and Xie, Y. "When does (T) equal Sat(T)?." Proc. ISSAC 2008. Linz, 2008.
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