Editing Quotient (section)

== More general quotients ==
Outside of arithmetic, many branches of mathematics have borrowed the word "quotient" to describe structures built by breaking larger structures into pieces. Given a [[Set (mathematics)|set]] with an [[equivalence relation]] defined on it, a "[[quotient set]]" may be created which contains those equivalence classes as elements. A [[quotient group]] may be formed by breaking a [[Group (mathematics)|group]] into a number of similar [[cosets]], while a [[Quotient space (linear algebra)|quotient space]] may be formed in a similar process by breaking a [[vector space]] into a number of similar [[linear subspace]]s.