Editing Commutative property (section)

=== Commutative operations ===
[[File:Vector Addition.svg|thumb|The addition of vectors is commutative, because <math>\vec a+\vec b=\vec b+ \vec a.</math>]]
* [[Addition]] and [[multiplication]] are commutative in most [[number system]]s, and, in particular, between [[natural number]]s, [[integer]]s, [[rational number]]s, [[real number]]s and [[complex number]]s. This is also true in every [[field (mathematics)|field]].{{sfn|Rosen|2013|loc = See the [https://books.google.com/books?id=-oVvEAAAQBAJ&pg=SL1-PA1 Appendix I]}}
* Addition is commutative in every [[vector space]] and in every [[algebra over a field|algebra]].{{sfn|Sterling|2009|p=[https://books.google.com/books?id=PsNJ1alC-bsC&pg=PA248 248]}}
* [[Union (set theory)|Union]] and [[intersection (set theory)|intersection]] are commutative operations on [[set (mathematics)|set]]s.{{sfn|Johnson|2003|p=[http://books.google.com/books?id=-pZX2KS2KqMC&pg=PA642 642]}}
* "[[And (logic)|And]]" and "[[or (logic)|or]]" are commutative [[logical operation]]s.{{sfn|O'Regan|2008|p=[https://books.google.com/books?id=081H96F1enMC&pg=PA33 33]}}