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《Journal of Beijing Normal University(Natural Science)》 2005-04
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EXTENSIONS WITH GOLDBACH PROPERTY OF SOME QUARTIC RINGS OF INTEGERS

Wang Shiqiang(College of Mathematical Sciences, Beijing Normal University, 100875, Beijing, China)  
It is shown by number-theoretic and model-theoretic methods that: For many quartic rings of algebraic integers, there exist extension rings satisfying Goldbach property.
【Fund】: 国家自然科学基金资助项目(19931020)
【CateGory Index】: O153.3
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 Wang Shiqiang;A CLASS OF COMMUTATIVE RINGS WITH GOLDBACH PROPERTY[J];Journal of Beijing Normal University(Natural Science);1982-01
2 Wang Shiqiang Wu Tao;EXTENSIONS OF QUADRATIC RINGS OF ALGEBRAIC INTEGERS WITHOUT GOLDBACH PROPERTY[J];Journal of Beijing Normal University(Natural Science);1982-03
【Co-citations】
Chinese Journal Full-text Database 9 Hits
1 Wang Shiqiang Wu Tao;EXTENSIONS OF QUADRATIC RINGS OF ALGEBRAIC INTEGERS WITHOUT GOLDBACH PROPERTY[J];Journal of Beijing Normal University(Natural Science);1982-03
2 Shen Fuxing Department of Mathematics, Beiging Normal University, 100875, Beiging, PRC;PRIME FORMULAS IN THE ULTRAPRODUCT EXTENSION OF THE RING OF INTEGERS[J];Journal of Beijing Normal University(Natural Science);1991-04
3 Wang Shiqiang (Department of Mathematics, Beijing Normal University, 100875, Beijing, China);THE CONDITIONAL INDEPENDENCE OF GOLDBACH CONJECTURE WITH RESPECT TO PEANO AXIOMS ──LOGICAL DISCUSSIONS ABOUT SOME PROBLEMS IN NUMBER THEORY (Ⅰ)[J];Journal of Beijing Normal University(Natural Science);2001-04
4 Wang Shiqiang (Department of Mathematics, Beijing Normal University, 100875, Beijing, China);SOME CONNECTIONS OF GOLDBACH CONJECTURE AND OTHERS WITH PA --LOGICAL DISCUSSIONS ABOUT SOME PROBLEMS IN NUMBER THEORY (Ⅱ)[J];Journal of Beijing Normal University(Natural Science);2002-02
5 Wang Shiqiang (Department of Mathematics, Beijing Normal University, 100875, Beijing, China);CONDITIONAL INDEPENDENCE TO PA OF THE PROBLEMS ON PERFECT NUMBERS AND AMICABLE NUMBERS --LOGICAL DISCUSSIONS ABOUT SOME PROBLEMS IN NUMBER THEORY (Ⅲ)[J];Journal of Beijing Normal University(Natural Science);2002-03
6 Shen Yunfu (Department of Mathematies);Some Diophantine Equations on Certain Extention Rings of Integers[J];;1991-06
7 WANG SHIQIANG;WANG SHIH-CHIANG Department of Mathematics, Beijing Normal University;EXTENSIONS WITH AND WITHOUT GOLDBACH PROPERTY OF SOME CUBIC RINGS OF INTEGERS[J];中国科学A辑(英文版);1984-05
8 WANG SHIQIANG(WANG SHIH-CHIANG)Department of Mathematics, Beijing Normal University;SOME NUMBER-THEORETIC PROPERTIES OF A KIND OF GOLDBACH COMMUTATIVE RINGS[J];中国科学A辑(英文版);1984-06
9 WANG SHIQIANG (Department of Mathematics, Beijing Normal University);A CLASS OF COMMUTATIVE RINGS WITH PRIME FORMULAS[J];科学通报(英文版);1983-04
【Co-references】
Chinese Journal Full-text Database 2 Hits
1 Wang Shiqiang;A CLASS OF COMMUTATIVE RINGS WITH GOLDBACH PROPERTY[J];Journal of Beijing Normal University(Natural Science);1982-01
2 Wang Shiqiang Wu Tao;EXTENSIONS OF QUADRATIC RINGS OF ALGEBRAIC INTEGERS WITHOUT GOLDBACH PROPERTY[J];Journal of Beijing Normal University(Natural Science);1982-03
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 Wang Shiqiang;A CLASS OF COMMUTATIVE RINGS WITH GOLDBACH PROPERTY[J];Journal of Beijing Normal University(Natural Science);1982-01
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