| 代数正规类中的遗传根与强半单根 |
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| 引用本文： | 任艳丽,王尧.代数正规类中的遗传根与强半单根[J].数学研究与评论,2004,24(4):597-602. |
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| 作者姓名： | 任艳丽 王尧 |
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| 作者单位： | 1. 鞍山师范学院数学系,辽宁,鞍山,114005
2. 南开大学数学科学学院,天津,300071;鞍山师范学院数学系,辽宁,鞍山,114005 |
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| 基金项目： | NSFofLiaoningEducationDepartment(2024201051) |
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| 摘 要： | Puczylowski建立了一般代数对象类的根理论.本文在代数正规类中,用格论方法刻划一般遗传根和强半单根类,探究它们的一些性质,推广了已知各类代数系统的某些根论研究.
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| 关 键 词： | 代数 正规类 格 遗传根 强半单根 |
| 收稿时间： | 2001/11/20 0:00:00 |
Hereditary Radicals and Strongly Semisimple Radicals in Normal Classes of Algebras |
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| REN Yan-li and WANG Yao.Hereditary Radicals and Strongly Semisimple Radicals in Normal Classes of Algebras[J].Journal of Mathematical Research and Exposition,2004,24(4):597-602. |
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| Authors: | REN Yan-li and WANG Yao |
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| Institution: | Dept. of Math.; Anshan Normal University; Liaoning; China;School of Math. Sci.; Nankai University; Tianjin; China; Dept. of Math.; Anshan Normal University; Liaoning; China |
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| Abstract: | Puczylowski established the general theory of radicals of the class of objects called algebras. In this paper, we make use of the method of lattice theory to characterize the general hereditary radicals and general strongly semisimple radicals and investigate some properties of them in normal classes of algebras. This extends some known studies on the theory of radicals of various algebraic strutures. |
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| Keywords: | algebra normal class lattice hereditary radical strongly semisimple radical |
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