| 格序环的诣零l－理想的幂零性 |
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| 引用本文： | 高亭. 格序环的诣零l－理想的幂零性[J]. 河北师范大学学报(自然科学版), 1995, 0(1) |
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| 作者姓名： | 高亭 |
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| 作者单位： | 河北师范大学数学系 |
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| 摘 要： | 主要研究结果为：证明了格序环的任一诣零单侧ｌ－理想所生成的ｌ－理想是诣零的；同时给出了格序环的指零ｌ－理想为幂零的一些充分条件
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| 关 键 词： | 格序环；诣零（幂零）l－理想；升（降）链条件 |
The Nilpotency of Nil l- ideals of Lattice- ordered Rings |
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| Gao Ting. The Nilpotency of Nil l- ideals of Lattice- ordered Rings[J]. Journal of Hebei Normal University, 1995, 0(1) |
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| Authors: | Gao Ting |
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| Abstract: | This paper is to show some sufficient conditions of a nil I - ideal of a lattice-ordered ring heing nilpotent,from these results we know that the results of G. Birkhoff and R.S. Pierce are only our corollaries.Also we prove that the l-ideal generated by nil one-sided l-ideal is nil. |
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| Keywords: | lattice-ordered ring nil (nilpotent ) l-ideal ascending(descending )chain condition |
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