Group with operators: Difference between revisions

Revision as of 13:05, 5 March 2006

Revision as of 13:09, 5 March 2006

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* For a group <math>G</math> <math>(G, \emptyset)</math> is trivially a group with operators

* Given aan <math>\mathbb{K}R</math>-[[vectormodule space(mathematics)|module]] <math>VM</math> then <math>(VM, \mathbb{K}R)</math> is a group with operators, with <math>R</math> operating on <math>M</math> by [[scalar multiplication]]. More concretely every [[vector space]] is a group with operators.

== References ==