Group with operators: Difference between revisions

Revision as of 07:34, 16 August 2009

Revision as of 19:30, 14 April 2010

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== Examples ==

* Given any group ''G'', (''G'', ∅) is trivially a group with operators

* Given an ''R''-[[module (mathematics)|module]] ''M'', the group ''RM'' operates on the operator ___domain ''MR'' by [[scalar multiplication]]. More concretely, every [[vector space]] is a group with operators.

==Applications==