| 几类遗传代数的刻划 |
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| 引用本文： | 谭荣华,谭志松.几类遗传代数的刻划[J].湖北民族学院学报(哲学社会科学版),2001,19(4):29-33. |
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| 作者姓名： | 谭荣华 谭志松 |
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| 作者单位： | 湖北民族学院计算机与数学系 湖北恩施445000
(谭荣华)，湖北民族学院计算机与数学系 湖北恩施445000(谭志松) |
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| 基金项目： | 湖北省教育厅重点科研项目 ( 99A0 19) |
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| 摘 要： | 研究了特殊代数模对几类遗传代数的刻划，作为直接射模、直内射模的自然推广，引入X-直投射模、X-直内射模的概念，并用它们完备地刻划了域F上的遗传代数A，将遗传代数A的用特殊模刻划的一些结果部分地推广到M-遗传代数，最后讨论了遗传代数与M-遗传代数、L-遗传代数之间的关系。
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| 关 键 词： | 遗传代数 M－遗传代数 L－遗传代数 X－直投（内）射模 |
| 文章编号： | 1008-8423(2001)04-0029-05 |
| 修稿时间： | 2001年9月18日 |
Characterizations of some hereditary algebras |
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| TAN Rong-hua,TAN Zhi-song.Characterizations of some hereditary algebras[J].Journal of Hubei Institute for Nationalities(Natural Sciences),2001,19(4):29-33. |
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| Authors: | TAN Rong-hua TAN Zhi-song |
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| Abstract: | The characterizations of some hereditary algebras by their modules are studied. Asa generalization of direct projective(injective) modules,the concepts of X-direct projective (injective) modules are introduced. The hereditary algebra A over a field F is characterized by X-direct projective (injective) modules. Some propositions on the hereditary algebra A which are characterized by their special modules are generalized to M-hereditary algebra partly. Finally,the relations between hereditary algebra, M-hereditary algebra and L-hereditary algebra are discussed. |
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| Keywords: | hereditary algebra M-hereditary algebra L -hereditary algebra X-direct projective(injective)module |
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