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7.3.22 quotient (plural)

Syntax:
quotient ( ideal_expression, ideal_expression )
quotient ( module_expression, module_expression )
Type:
ideal
Syntax:
quotient ( module_expression, ideal_expression )
Type:
module
Purpose:
computes the ideal quotient, resp. module quotient. Let R be the basering, I,J ideals and M, N modules in Then
  • quotient(I,J)=
  • quotient(M,J)=
Note:
It can only be used for two-sided ideals (bimodules), otherwise the result may have no meaning.

Example:
 
See ideal (plural); module (plural).


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