Editing Glossary of ring theory (section)

== G ==
{{glossary}}

{{term|1=graded}}
{{defn|1=A [[graded ring]] is a ring together with a grading or a graduation; i.e, it is a direct sum of additive subgroups with the multiplication that respects the grading. For example, a polynomial ring is a graded ring by degrees of polynomials.}}

{{term|1=generate}}
{{defn|1=An associative algebra ''A'' over a commutative ring ''R'' is said to be [[algebra generated by a set|generated]] by a subset ''S'' of ''A'' if the smallest subalgebra containing ''S'' is ''A'' itself and ''S'' is said to be the generating set of ''A''. If there is a finite generating set, ''A'' is said to be a [[finitely generated algebra]].}}

{{glossary end}}