Group with operators: Difference between revisions

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In [[abstract algebra]], a branch of pure [[mathematics]], the [[algebraic structure]] '''group with operators''' or Ω-'''group''' can be viewed as a [[group (mathematics)|group]] with a [[Set (mathematics)|set]] Ω that operates on the elements of the group in a special way.

Groups with operators were extensively studied by [[Emmy Noether]] and her school in the 1920s. She employed the concept in her original formulation of the three [[Noether isomorphism theorem]]s.