Editing Glossary of ring theory (section)

== O ==
{{glossary}}

{{term|1=opposite}}
{{defn|1=Given a ring ''R'', its [[opposite ring]] ''R''<sup>op</sup> has the same underlying set as ''R'', the addition operation is defined as in ''R'', but the product of ''s'' and ''r'' in ''R''<sup>op</sup> is ''rs'', while the product is ''sr'' in ''R''.}}

{{term|1=order}}
{{defn|1=An [[order (ring theory)|order]] of an algebra is (roughly) a subalgebra that is also a full lattice.}}

{{term|1=Ore}}
{{defn|1=A left [[Ore domain]] is a (non-commutative) domain for which the set of non-zero elements satisfies the left Ore condition. A right Ore domain is defined similarly.}}

{{glossary end}}