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regSeq -- regular sequence of powers of the variables, in given degrees

Synopsis

Usage:

I = regSeq(L,S)
Inputs:
- L, a list, or sequence of positive integers
- S, a ring, Polynomial ring
Outputs:
- I, an ideal, generated by the given powers of the variables

Description

i1 : kk=ZZ/101

o1 = kk

o1 : QuotientRing

i2 : S=kk[a..e]

o2 = S

o2 : PolynomialRing

i3 : regSeq((2,3,4),S)

             2   3   4
o3 = ideal (a , b , c )

o3 : Ideal of S

Caveat

If the number of elements of L differs from the number of variables in the ring, the length of the regular sequence will be the minimum of the two.

Ways to use regSeq :

regSeq(List,Ring)
regSeq(Sequence,Ring)

For the programmer

The object regSeq is a method function.