Definition:Generator of Algebra

From ProofWiki
Jump to navigation Jump to search

Definition

Let $\left({A_R, \oplus}\right)$ be an algebra over a ring $R$.

Let $S \subseteq A_R$ be a subset of $A_R$.


The subalgebra generated by $S$ is the smallest subalgebra $B_R$ of $A_R$ which contains $S$.


Also see