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极大理想环上的Azumaya代数
AZUMAYA ALGEBRA OVER THE MAXIMAL IDEAL RINGS
【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.
【Abstract】 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.
- 【文献出处】 山东大学学报(自然科学版) ,Journal of Shandong University , 编辑部邮箱 ,1991年04期
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