Group with operators: Difference between revisions

Content deleted Content added
If you follow the link family (mathematics) you will see why set (mathematics) is much better. There is no reason to use "family." I am not even sure if anything but sets are used for this theory, so it seems safest to say "set."
Rschwieb has implicitly recognized in the body of the article that "indexed family" is more accurate than "set". And see Talk page.
Line 1:
In [[abstract algebra]], a branch of pure [[mathematics]], the [[algebraic structure]] '''group with operators''' or Ω-'''group''' iscan be viewed as a [[group (mathematics)|group]] with aan [[setindexed (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.