Group with operators: Difference between revisions

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m r2.7.1) (Robot: Adding fr:Groupe à opérateurs
"Family", not "set". With a set, it is impossible to define a homomorphism between groups with operators.
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In [[abstract algebra]], a branch of pure [[mathematics]], the [[algebraic structure]] '''group with operators''' or Ω-'''group''' is a [[group (mathematics)|group]] with a [[setfamily (mathematics)|setfamily]] of group [[endomorphism]]s.
 
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.