Revision as of 01:00, 11 May 2012 edit Purfideas (talk \| contribs) 66 edits →Category-theoretic remarks: remark that morphism in the category is a homomorphism and some clarification about M vs Omega ← Previous edit		Revision as of 01:52, 11 May 2012 edit undo Purfideas (talk \| contribs) 66 edits →Examples: Ring example: see talk section for details on possible typo here Next edit →
Line 31: == Examples == * Given any group ''G'', (''G'', ∅) is trivially a group with operators * Given an ''R''-[[module (mathematics)\|module]] ''M'', ~~the group ''M'' operates on the operator ___domain~~ ''R'' acts by [[scalar multiplication]]. ~~More~~on ~~concretely~~the underlying Abelian group ''M'', ~~every~~so ~~[[vector~~(''M'', ~~space]]~~''R'') is a group with operators. * As a special case of the above, every [[vector space]] over ''k'' is a group with operators (''V'', ''k''). ==Applications==

Group with operators: Difference between revisions