Property: reduced

Definition: No nonzero nilpotent elements

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Metaproperties:

This property has the following metaproperties
  • stable under products
  • passes to polynomial rings
  • passes to subrings
  • passes to $eRe$ for any full idempotent $e$
  • passes to $eRe$ for any idempotent $e$
  • passes to the center
  • stable under finite products
This property does not have the following metaproperties