algebra over a field meaning in Chinese
多元环
交换环上的代数
Examples
- It is proved that every nonzero ideal in a finite - dimensional semi - simple algebra over a field is generated by an unique central idempotent
证明了域上有限维半单代数的每一个非零理想由唯一的中心幂等元生成。 - A sufficient and necessary condition for determining singularity of a block circulant matrix over a quaternion division algebra over a field is given , and two algorithms for the inverse of a nonsingular block circulant matrix over the quaternion division algebra are presented
?给出了域上的块循环矩阵可逆性的充要条件及其逆矩阵的算法。 ?给出了四元素可除代数上的块循环矩阵可逆性的充要条件及其逆矩阵的两种算法。