| 关于拟赋值环的一个刻画 |
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| 引用本文： | 张金霞,高恩伟. 关于拟赋值环的一个刻画[J]. 东北数学, 2003, 19(2): 115-118 |
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| 作者姓名： | 张金霞 高恩伟 |
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| 作者单位： | Department of Mathematics,Liaoning University,Shenyang,110036,Department of Mathematics,Liaoning University,Shenyang,110036 |
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| 摘 要： | Let R be a commutative ring without nil-factor. In this paper, we discuss the problem of quasi-valuation ring presented in the reference “Wang Shianghaw, On quasi-valuation ring, Northeast People‘s Univ. Natur. Sci. J., (1)(1957), 27-40”,when the quotient field of R is an algebraic number field or an algebraic function field, and we obtain a characterization of quasi-valuation rings.
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| 关 键 词： | 拟赋值环 交换环 核元 代数数域 代数函数域 商域 素理想 零因子 |
On a Characterization of Quasi-valuation Rings |
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| ZHANG Jinxia and GAO Enwei. On a Characterization of Quasi-valuation Rings[J]. Northeastern Mathematical Journal, 2003, 19(2): 115-118 |
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| Authors: | ZHANG Jinxia and GAO Enwei |
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| Affiliation: | DepartmentofMathematics,LiaoningUniversity,Shenyang,110086 |
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| Abstract: | Let R be a commutative ring without nil-factor. In this paper, we discuss the problem of quasi-valuation ring presented in the reference "Wang Shianghaw, On quasi-valuation ring, Northeast People's Univ. Natur. Sci. J., (1)(1957), 27-40", when the quotient field of R is an algebraic number field or an algebraic function field, and we obtain a characterization of quasi-valuation rings. |
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| Keywords: | quasi-valuation ring nuclear element quotient field prime ideal |
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