| 分配超格 |
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| 引用本文： | 韩胜伟,赵彬.分配超格[J].西北大学学报,2005,35(2):125-129. |
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| 作者姓名： | 韩胜伟 赵彬 |
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| 作者单位： | 陕西师范大学数学与信息科学学院，陕西西安710062 |
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| 基金项目： | 国家自然科学基金资助项目(10471083)，高等学校优秀青年教师教学科研奖励计划资助项目(200026) |
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| 摘 要： | 目的 研究超格的内部结构性质。方法 通过引入超格的吸收元、固定元等概念来讨论超格中的分配性。结果 超格的吸收元、固定元直积仍为超格直积的吸收元、固定元；子超格的直积仍为超格直积的子超格。结论 分配超格的同态像、子超格、直积仍是分配超格；超格中的乘法分配律与加法分配律不等价。
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| 关 键 词： | 超格 吸收元 左（右）固定元 分配超格 |
| 文章编号： | 1000-274X(2005)02-0125-05 |
| 修稿时间： | 2003年9月1日 |
Distributive hyperlattice |
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| HAN Sheng-wei,ZHAO Bin.Distributive hyperlattice[J].Journal of Northwest University(Natural Science Edition),2005,35(2):125-129. |
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| Authors: | HAN Sheng-wei ZHAO Bin |
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| Abstract: | Aim The properties of the structures of hyperlattice were studied.Methods Discussing the distributivity of hyperlattices by introducing the concepts of the absorbing elements and fixed elements.Results The direct products of the absorbing elements and fixed elements were still the absorbing element, fixed element of the direct product of hyperlattices respectively, and the direct product of subhyperlattices was the subhyperlattice of the product of hyperlattices.Conclusion The homomorphism image, subhyperlattice and direct product of distributive hyperlattices are still distributive hyperlattices, the multiplicatively distributive law was not equivalent to the additively distributive law. |
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| Keywords: | hyperlattice absorbing element left(right) fixed element distributive hyperlattice |
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