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Decomposition of Prime Ideal （P） in Q(μ1/23)

Author: ZhangBo
Tutor: ZhangJinXia
School: Liaoning University
Course: Applied Mathematics
Keywords: Prime ideal decomposition Non - Archimedean assignment Prime Completely split
CLC: O156.2
Type: Master's thesis
Year: 2011
Downloads: 23
Quote: 0
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Abstract


Algebraic number theory is the study of algebraic number domain (ie rationals domain of finite number of expansion domain ) and algebraic integers a scholarship , and the prime ideal decomposition as algebraic number theory an important research problem has been is the focus of attention in this article in my mentor Zhang further research on the basis of Professor Jin Xia prime ideal (p) in Q 23 root expansion Q (μ1/23) decomposition , thus proving the prime ideal (p) of the rational numbers domain in Q 23 root expansion of Q (μ1/23) in the decomposition generated by the prime number p prime ideal (p) any of the Q (ξ23) an expansion in the Q (μ1/23, ξ23) the decomposition as determined by the article consists of four parts. introductory part , prior knowledge of the full text is given in the second chapter of the main former prime ideal decomposition problem research , and described the prime ideal decomposition of both theoretical and practical significance . , including the text related to the definition and concept of prime ideal decomposition theorems and properties to make a more detailed introduction to the knowledge of the prime ideal decomposition . the Chapter further study the prime ideal decomposition form , and the conclusion of this article gives a complete proof . fourth chapter is the conclusion of this article and Prospects .

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CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Number Theory > Algebraic number theory
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