algebra over a field中文
- It is proved that every nonzero ideal in a finite - dimensional semi - simple algebra over a field is generated by an unique central idempotent
- 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
In mathematics, an algebra over a field is a vector space equipped with a bilinear product. An algebra such that the product is associative and has an identity is therefore a ring that is also a vector space, and thus equipped with a field of scalars.