The basic properties of matrix subalgebra were investiaged , the matrix subalgebra was generated by a single matrix , all maximal ideals were classified , the necessary and sufficient conditions for the subalgebra to be semisimple algebra were given 摘要研究了由一個(gè)矩陣生成的拒陣子代數(shù)的基本性質(zhì),給出了其極大理想的完全分類及這類子代數(shù)是半單代數(shù)的充要條件。
百科解釋
In ring theory, a branch of mathematics, a semisimple algebra is an associative algebra over a field which has trivial Jacobson radical (only the zero element of the algebra is in the Jacobson radical). If the algebra is finite dimensional this is equivalent to saying that it can be expressed as a Cartesian product of simple subalgebras.