Let $R$ be an integral domain containing $\mathbb { C }$ such that it is a finite-dimensional $\mathbb { C }$-vector-space. Pick the correct statement(s) from below.\\
(A) For every $a \in R$, the set $\left\{ 1 , a , a ^ { 2 } , \ldots \right\}$ is linearly dependent over $\mathbb { C }$.\\
(B) $R$ is a field.\\
(C) $R = \mathbb { C }$.\\
(D) The transcendence degree of $R$ over $\mathbb { C }$ is 1 .