| 弱幻方的代数系统 |
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| 引用本文： | 刘兴祥,刘娟娟,张婧.弱幻方的代数系统[J].延安大学学报(自然科学版),2020(2):24-27. |
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| 作者姓名： | 刘兴祥 刘娟娟 张婧 |
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| 作者单位： | 延安大学数学与计算机科学学院 |
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| 基金项目： | 国家自然科学基金面上项目(11571276/A01)。 |
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| 摘 要： | 在弱幻方定义的基础上,采用类比法研究了相关代数系统,从而结合抽象代数的相关定义提出弱幻方关于二元运算■和■的代数系统:弱和幻方关于■构成代数系统、半群、交换半群、群、交换群;弱积幻方关于■构成代数系统、半群、有幺元的交换半群;弱和弱积幻方关于■和■构成代数系统、环。
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| 关 键 词： | 弱和幻方 弱积幻方 弱和弱积幻方 代数系统 |
The Algebraic System of Weak Magic Squares |
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| LIU Xing-xiang,LIU Juan-juan,ZHANG JING.The Algebraic System of Weak Magic Squares[J].Journal of Yan'an University(Natural Science Edition),2020(2):24-27. |
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| Authors: | LIU Xing-xiang LIU Juan-juan ZHANG JING |
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| Institution: | (School of Mathematics and Computer Science,Yan′an University,Yan′an 716000,China) |
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| Abstract: | Based on the definition of weak magic square,the system of correlative algebra is studied by analogy.And then combined with the definition of abstract algebra,the algebraic system of the weak magic squares about two operations ■ and ■ is put forward:weak sum of magic square about ■ operation constitute algebraic system,semigroups,commutative semigroups,groups,commutative groups;weak product of magic square about ■ operation constitute algebraic system,semigroups,commutative semigroups constituting unite;The weak sum and weak pruduct of magic square constitute algebraic systems and rings with respect to and ■. |
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| Keywords: | weak sum of magic square weak product of magic square weak sum and weak pruduct of magic square algebraic system |
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