Editing Glossary of ring theory (section)

== B ==
{{glossary}}

{{term|1=bidimension}}
{{defn|1=The [[bidimension of an associative algebra]] ''A'' over a commutative ring ''R'' is the projective dimension of ''A'' as an {{nowrap|(''A''<sup>op</sup> ⊗<sub>''R''</sub> ''A'')}}-module. For example, an algebra has bidimension zero if and only if it is separable.}}

{{term|1=boolean}}
{{defn|1=A [[boolean ring]] is a ring in which every element is multiplicatively [[idempotent (ring theory)|idempotent]].}}

{{term|1=Brauer}}
{{defn|1=The [[Brauer group]] of a field is an abelian group consisting of all equivalence classes of central simple algebras over the field.}}

{{glossary end}}