| 整数环的一些可换扩环的数论性质 |
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| 引用本文： | 沈复兴,丁征.整数环的一些可换扩环的数论性质[J].北京师范大学学报(自然科学版),1990(1):1-8. |
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| 作者姓名： | 沈复兴 丁征 |
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| 作者单位： | 北京师范大学数学系，中国科学院软件研究所 |
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| 摘 要： | 用模型论和数论的方法,讨论整数环I的可换扩环R和S的数论性质,如Mordell方程的可解性,平方和问题,素元组问题.
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| 关 键 词： | 整数环 Mordell方程 可换扩环 数论 |
NUMBER-THEORETIC PROPERTIES OF SOME COMMUTATIVE EXTENSION RINGS OF THE RING OF RATIONAL INTEGERS |
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| Shen Fuxing.NUMBER-THEORETIC PROPERTIES OF SOME COMMUTATIVE EXTENSION RINGS OF THE RING OF RATIONAL INTEGERS[J].Journal of Beijing Normal University(Natural Science),1990(1):1-8. |
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| Authors: | Shen Fuxing |
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| Abstract: | Number-theortic properties, such as the solution of Mordell equa- tions, the sums of square elements, and the prime triples of certain types, of commutative extension rings R and S of the ring of rational integers are investigated by model-theoretic and number-theoretic methods. |
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| Keywords: | integer ring Mordell equation ultraporduct |
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