| 极大理想环上的Azumaya代数 |
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| 引用本文： | 王树棠.极大理想环上的Azumaya代数[J].山东大学学报(理学版),1991(4). |
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| 作者姓名： | 王树棠 |
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| 作者单位： | 山东大学数学系 |
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| 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.
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| 关 键 词： | 交换环 序环 东屋代数 射影生成元 |
AZUMAYA ALGEBRA OVER THE MAXIMAL IDEAL RINGS |
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| Wang Shutang.AZUMAYA ALGEBRA OVER THE MAXIMAL IDEAL RINGS[J].Journal of Shandong University,1991(4). |
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| Authors: | Wang Shutang |
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| 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. |
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| Keywords: | commutative ring order azumaya algebra progenerator |
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