In this paper, we complement some recent results of L. Márki, J. Meyer, J. Szigeti and L. van Wyk, by investigating the constant-trace representations of a Clifford algebra \(C(V)\) of an arbitrary quadratic form \(q:V\rightarrow F\) (possibly degenerate) and we present some relevant applications. In particular, the existence of the polynomial identities of \(C(V)\) of particular form when the characteristic of the base field is zero is looked at. Furthermore, a lower bound is found on the minimal number t, such that \(C(V)\) can be embedded in a matrix ring of degree t, over some commutative F-algebra. Also, some results on the dimension of commutative subalgebras of \(C(V)\) are obtained.

在本文中，我们通过研究任意二次方程的 Clifford 代数\(C(V)\)的常迹表示，补充了 L. Márki、J. Meyer、J. Szigeti 和 L. van Wyk 的一些最新结果形式\(q:V\rightarrow F\)（可能退化），我们提出了一些相关的应用程序。尤其是考察了基域的特征为零时特定形式的\(C(V)\)多项式恒等式的存在性。此外，下限的最小数目被发现吨，使得\（C（V）\）可嵌入程度的矩阵环吨，经一些交换˚F-代数。还得到了\(C(V)\)的可交换子代数维数的一些结果。