# torAlgClass(Ideal) -- the class (w.r.t. multiplication in homology) of a local ring

## Synopsis

• Function: torAlgClass
• Usage:
torAlgClass R or torAlgClass I
• Inputs:
• I, an ideal, of a polynomial algebra contained in the irrelevant maximal ideal
• Outputs:
• , the (parametrized) class of the local ring obtained by localizing the quotient by I at the irrelevant maximal ideal, provided that this ring is non-zero and of codepth at most 3 or Gorenstein or Golod; otherwise "no class"

## Description

 i1 : Q = QQ[x,y,z]; i2 : torAlgClass (ideal(x^2,y^2,z^2)) o2 = C(3)