| 约化环的推广 |
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| 引用本文： | 伍惠凤.约化环的推广[J].杭州师范大学学报(自然科学版),2011(5):407-410. |
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| 作者姓名： | 伍惠凤 |
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| 作者单位： | 杭州师范大学理学院; |
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| 摘 要： | 称环R是约化环,如果α2=0,那么α=0.讨论了约化环和3-Armendariz环之间的关系,证明了不带单位元的约化环上的幂级数环和某些特殊的上三角矩阵环是3-Armendariz环.
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| 关 键 词： | 约化环 幂级数环 3-Armendariz环 |
Extensions of Reduced Rings |
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| Authors: | WU Hui-feng |
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| Institution: | WU Hui-feng(College of Science,Hangzhou Normal University,Hangzhou 310036,China) |
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| Abstract: | A ring R is a reduced ring,provided that a2=0 implies that a=0.The paper discussed the relations between reduced rings and 3-Armendariz rings and proved that power series rings and some special upper triangular matrix rings of reduced rings are 3-Armendariz rings. |
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| Keywords: | reduced ring power series ring 3-Armendariz ring |
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