up previous next
Multiplicity

the multiplicity (degree) of a ring or quotient object
Syntax 

Multiplicity(R:RING or TAGGED("Quotient")):INT

Description
This function computes the multiplicity (or degree) of M, i.e., the leading coefficient of the Hilbert polynomial multiplied by the factorial of the degree of the Hilbert polynomial. The weights of the indeterminates of the polynomial ring of M must all be 1. M can be a module or a quotient.

Example 
  Use R ::= QQ[t,x,y,z];
  Multiplicity(R/Ideal(x,y,z)^5);
35
-------------------------------


See Also