摘要
讨论了半局部极大理想环上的东屋代数的基本性质,证明这个东屋代数与半局部极大理想环本身同构.利用此类环的相对不变量,确定了半局部极大理想环的结构.
This paper discusses the fundamental properties of the Azumaya algebra over a commutative ring, in which every proper ideal is maximal. And we proved that the Azumaya algebra is isomorphic to the ring. The structure results for the ring are obtained with its relative invariants.
出处
《山东大学学报（自然科学版）》
CSCD
1991年第4期482-485,共4页
Journal of Shandong University(Natural Science Edition)
关键词
交换环
序环
东屋代数
射影生成元
commutative ring
order
azumaya algebra
progenerator
