Definition:Ordered Basis

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Definition

Let $R$ be a ring with unity.

Let $G$ be a free $R$-module.


An ordered basis of $G$ is a sequence $\left \langle {a_k} \right \rangle_{1 \mathop \le k \mathop \le n}$ of elements of $G$ such that $\left\{{a_1, \ldots, a_n}\right\}$ is a basis of $G$.


Also see


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