| 一类交换半群在求解二元二次不定方程中的应用 |
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| 引用本文： | 陈海莲,孙弘安.一类交换半群在求解二元二次不定方程中的应用[J].赣南师范学院学报,2008,29(3):11-14. |
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| 作者姓名： | 陈海莲 孙弘安 |
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| 作者单位： | 赣南师范学院数学与计算机科学学院,江西,赣州,341000 |
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| 摘 要： | 建立了一类新的交换半群,对《一个交换半群的元素的表示形式》、《一个交换半群的推广与应用》两文中半群的元素表示形式和结果进行了推广与加强.并且利用其结果得到了几类二元二次不定方程的整数解表达式.
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| 关 键 词： | 二元运算 交换半群 二元二次不定方程 整数解 |
Application of Commutative Semi-group in Soluting a Binary Indefinite Quadratic Equation |
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| CHEN Hai-lian,SUN Hong-an.Application of Commutative Semi-group in Soluting a Binary Indefinite Quadratic Equation[J].Journal of Gannan Teachers' College(Social Science(2)),2008,29(3):11-14. |
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| Authors: | CHEN Hai-lian SUN Hong-an |
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| Institution: | ( School of Mathematics and Computer Science, Gannnan Normal University,Ganzhou 341000, China) |
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| Abstract: | In this paper,a new commutative semi-group is established,and the results of the papers "the Expression Form of a Commutative Semi-group"and "the Extension and Application of Commutative Semi-group" are genelized and strengthed.And based on these results the expressions for some binary indefinite quadratic equations'integer solutions are obtained. |
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| Keywords: | binary relation commutative semi-group binary indefinite quadratic equation integer solution |
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