Group with operators: Difference between revisions

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In [[mathematics]], more specifically in [[abstract algebra]], a '''group with operators''' or Ω-'''group''' is a [[group (mathematics)|group]] with a [[set (mathematics)|set]] of group [[endomorphism]]s.
 
Groups with operators are a basic concept in algebra which was extensively studied by [[Emmy Noether]] and her school in the [[1920]]s. The three [[Noether isomorphism theorem]]s hold for groups with operators and where originally formulated by Emmy Noether using this concept.
 
== Definition ==