| The K_2-groups over Finaite Commutative Rings |
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| 引用本文： | 南基洙,田子德. The K_2-groups over Finaite Commutative Rings[J]. 东北数学, 2002, 0(2) |
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| 作者姓名： | 南基洙 田子德 |
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| 作者单位： | NAN Jizhu (Department of Mathematics，Northeast Normal University，Changchun，130024)TIAN Zide (Department of Mathematics，Baicheng Teacher College，Baicheng，Jilin，137000) |
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| 摘 要： | The present note determines the structure of the K2-group and of its subgroup over a finite commutative ring R by considering relations between R andfinite commutative local ring Ri (1 < i < m), where R Ri and K2(R) =K2(Ri). We show that if charKi= p (Ki denotes the residual field of Ri), then K2(Ri) and its subgroups must be p-groups.
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The K_2-groups over Finaite Commutative Rings |
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| NAN Jizhu. The K_2-groups over Finaite Commutative Rings[J]. Northeastern Mathematical Journal, 2002, 0(2) |
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| Authors: | NAN Jizhu |
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| Abstract: | The present note determines the structure of the K2-group and of its subgroup over a finite commutative ring R by considering relations between R andfinite commutative local ring Ri (1 < i < m), where R Ri and K2(R) =K2(Ri). We show that if charKi= p (Ki denotes the residual field of Ri), then K2(Ri) and its subgroups must be p-groups. |
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| Keywords: | K2-group p-group finite commutative ring |
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