macaulayLowerOperator -- the a_<d> operator used in Green's proof of Macaulay's Theorem

Synopsis

Usage:

h=macaulayLowerOperator(a,d)
Inputs:
- a, an integer, a positive integer
- d, an integer, a positive integer
Outputs:
- h, an integer, a nonnegative integer representing a_<d>

Description

Given positive integers a and d, macaulayLowerOperator yields a_<d>, the operation from Green's proof of Macaulay's Theorem. See Bruns and Herzog, Cohen-Macaulay Rings, page 161.

i1 : macaulayLowerOperator(3,1)

o1 = 2

i2 : macaulayLowerOperator(15,5)

o2 = 3

Ways to use macaulayLowerOperator :

macaulayLowerOperator(ZZ,ZZ)

For the programmer

The object macaulayLowerOperator is a method function.

macaulayLowerOperator -- the a_<d> operator used in Green's proof of Macaulay's Theorem

Synopsis

Description

See also

Ways to use macaulayLowerOperator :

For the programmer