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MonomialAlgebras :: degreeMA

degreeMA -- Degree of a monomial algebra.

Synopsis

Usage:
degreeMA(R)
degreeMA(B)
Inputs:
- R, a polynomial ring, with B = degrees R and K = coefficientRing R, or
- B, a list, with the generators of an affine semigroup in ℕ^d.
Optional inputs:
- Verbose => ..., -- Option to print intermediate results.
Outputs:
- an integer

Description

Compute the degree of the homogeneous monomial algebra K[B].

As the result is independent of K it is possible to specify just B.

i1 : B={{2, 2, 1}, {1, 1, 3}, {1, 2, 2}, {2, 0, 3}, {1, 4, 0}, {2, 3, 0}, {1, 3, 1}}

o1 = {{2, 2, 1}, {1, 1, 3}, {1, 2, 2}, {2, 0, 3}, {1, 4, 0}, {2, 3, 0}, {1,
     ------------------------------------------------------------------------
     3, 1}}

o1 : List

i2 : R=QQ[x_1..x_(#B),Degrees=>B]

o2 = R

o2 : PolynomialRing

i3 : degreeMA R

o3 = 6

Ways to use `degreeMA` :

degreeMA(List)
degreeMA(PolynomialRing)