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。
In chapter 2 , one type of maximal subgroups in symplectic groups over local rings are obtained . let r be a local ring and char r 2 , mbea positive integer , s be the unique maximal ideal of r , we define . then g ( s ) is a maximal subgroups of sp ( 2m , r ) 在第二章中,得到了局部環(huán)上辛群的一類極大子群:設r是一個特征不為2的局部環(huán), m是個正整數(shù), s是r的唯一極大理想,則g ( s )是sp ( 2m , r )的一個極大子群。
In mathematics, more specifically in ring theory, a maximal ideal is an ideal which is maximal (with respect to set inclusion) amongst all proper ideals. In other words, I is a maximal ideal of a ring R if there are no other ideals contained between I and R.