Dissertation > Excellent graduate degree dissertation topics show

Decomposition of Prime Ideal （P） in Q(u1/2m)

Author: WangJianFei
Tutor: GaoEnWei
School: Liaoning University
Course: Applied Mathematics
Keywords: Prime ideal Local field Eisenstein polynomial
CLC: O156
Type: Master's thesis
Year: 2011
Downloads: 20
Quote: 0
Read: Download Dissertation

Abstract


Since Kummer gave the definition of ideal and Dedekind developed the theory of ideal,Prime ideal decomposition is an important problem in algebraic number the- ory which has extensive application of the Diophantine Equation and the class field theory.Especially,it is helpful to solve some unsolved problems in the Diophantine Equation.Hence it is significant to factorize the prime ideal of Q in its finite extension field.Assume that Q is the field of rational numbers and （ p ） is Q prime ideal.There are two ways to factorize the prime ideal of Q in its finite extension field.One is extension and moving,the other is local-integral ideal.In this paper,we will discuss the problem of the law of decomposition of prime ideal （ p ） in Q(u2m/1) using the method of local field（where m is an odd prime）.Moreover the possible type of decomposition of prime ideal has been established.

Related Dissertations

  1. The Decomposition of Prime Number p in the Domain Q(u1/10),O156
  2. Decomposition of Prime Ideal （p） in Q(μ1/17, ξ17) and Q(μ1/17),O156.2
  3. The Decomposition of the Prime Number p in the Domain Q(u1/18)and Q(u1/lm),O156
  4. Decomposition of Prime Ideal （P） in Q(μ1/23),O156.2
  5. On Ideals of Ordered Γ -Semigroups,O152.7
  6. Further Study of Fuzzy Ideals for Ordered Semigroups,O152.7
  7. FBN ring module category sub - category classification,O153.3
  8. Some characterizations of the distribution ring,O153.3
  9. Research of Gr(?)bner Bases, Reducing and for Their Application,TP301.6
  10. Decomposition of Prime Ideal (p) in Q(u～(1/11)),O156.2
  11. On Ideals of Ordered Semigroups,O152.7
  12. The Ideal of Quantum Group U_q(f(K)) and Its Factorization,O152.5
  13. Propagation Properties of Few-cycle Laser Pulses in An Ladder-type Three-level System,O437
  14. Propofol on rat thalamocortical loop GABA_A Receptor of,R965
  15. Brain microdialysis / depth electrodes and their application in the rehabilitation of cerebral ischemia,R743;R318
  16. Theoretical Study of Site-Selective Effects on the 4f-5d Spectra of Lanthanide Ions and Spontaneous Lifetime of Luminescent Ions,O562
  17. Theoretical Investigations of Scanning Tunneling Microscope Induced Light Emission,O469
  18. Research on Neural Metabolic Mechanism of Negative Signals Based on MEA and OI,TN911.7
  19. The Design and Analysis of Subwavelength Metallic Optical Antenna,TN820
  20. There are three local field level Λ system transient analysis results,O437
  21. Z- scan technique based on semiconductor nanoparticles of third-order optical nonlinearity,O437

CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Number Theory
© 2012 www.DissertationTopic.Net  Mobile