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Group with operators

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In mathematics, more specifically in abstract algebra, a group with operators is a group with a set of group endomorphisms.

Examples

  • Every group together with an empty set is trivially a group with operators
  • A vector space is a group with operators. The operators are the elements of the field.

References

  • Bourbaki, Nicolas (1998). Elements of Mathematics : Algebra I Chapters 1-3. Springer-Verlag. ISBN 3540642439.