Editing Glossary of ring theory (section)

== E ==
{{glossary}}

{{term|1=endomorphism}}
{{defn|1=An [[endomorphism ring]] is a ring formed by the [[endomorphism]]s of an object with additive structure; the multiplication is taken to be [[function composition]], while its addition is pointwise addition of the images.}}

{{term|1=enveloping algebra}}
{{defn|1=The (universal) [[enveloping algebra (disambiguation)|enveloping algebra]] ''E'' of a not-necessarily-associative algebra ''A'' is the associative algebra determined by ''A'' in some universal way. The best known example is the [[universal enveloping algebra]] of a Lie algebra.}}

{{term|1=extension}}
{{defn|1=A ring ''E'' is a [[ring extension]] of a ring ''R'' if ''R'' is a [[subring]] of ''E''.}}

{{term|1=exterior algebra}}
{{defn|1=The [[exterior algebra]] of a vector space or a module ''V'' is the quotient of the tensor algebra of ''V'' by the ideal generated by elements of the form {{nowrap|''x'' ⊗ ''x''}}.}}

{{glossary end}}