| 主理想整环上的中国剩余定理 |
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| 引用本文： | 和斌涛.主理想整环上的中国剩余定理[J].新乡学院学报(自然科学版),2010,27(3):7-8. |
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| 作者姓名： | 和斌涛 |
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| 作者单位： | 陕西理工学院,数学系,陕西,汉中,723000 |
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| 摘 要： | 研究了主理想整环上线性同余方程组有解的条件,在主理想整环上把模互素推广到模不互素,并由此得出了主理想整环上同余方程组的简便解法。
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| 关 键 词： | 主理想整环 同余方程组 中国剩余定理 |
Chinese Remainder Theorem in Principal Ideal Domain |
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| Authors: | HE Bin-tao |
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| Institution: | HE Bin-tao (Department of Mathematics,Shanxi University of Technology,Hanzhong 723000,China) |
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| Abstract: | In this paper,the necessary and sufficient conditions are derived when the system of linear congruent equations over a principal ideal domain has solutions.Chinese remainder theorem found that principal idea ring can be generalized from modular coprime to not modular coprime expression.And a new idea is also provided for solving the system of linear congruent equations over integral ring. |
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| Keywords: | principal ideal domain congruent equations Chinese remainder theorem |
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