Dissertation > Excellent graduate degree dissertation topics show

Injective Modules and Direct Decomposition of Modules

Author: LiMeiQing
Tutor: DuXianKunï¼›LiuYang
School: Jilin University
Course: Basic mathematics
Keywords: Injective module Complement greatly summand Semi- T nilpotent cluster Replace nature CS- mold
CLC: O153.3
Type: Master's thesis
Year: 2010
Downloads: 21
Quote: 0
Read: Download Dissertation

Abstract


Injective module in homological algebra and algebraic geometry important role , therefore its study is important . Despite Noether ring and Artin ring on the inside shot mode there is a good nature , but to judge any ring shot mode of nature is very difficult . significance to nature on injective modules judgment and mode decomposition in the algebra of each branch of this article is a review article , a more systematic introduction of injective mode and the direct sum decomposition used the concepts , methods , and important research results and important applications .

Related Dissertations

  1. Modules with Finite Gorenstein-Projective Dimension,O153.3
  2. The Soc-quasi-Injective Modules,O153.3
  3. On Covers, Envelopes and Cotorsion Pairs Over n-Coherent Rings,O153.3
  4. The W-pure Submodule and Related Problems Pure Mathematics,O153.3
  5. Gorenstein Flat and Injective Modules,O153.3
  6. Some Researches on n-Presented Dimensions,O153.3
  7. PI-Injective Modules and Strongly Copure-Injective Modules,O153.3
  8. n-Strongly Gorenstein Projective, Injective and Flat Modules,O153.3
  9. (n,0)-Projective Dimensions and (n,0)-Injective Covers,O153.3
  10. Some Studies on Pseudo-injective Modules,O153.3
  11. S-injective Module and S-injective Dimension,O153.3
  12. Pro-injective Module and Pro-flat Module,O153.3
  13. The Injectivity of Modules and Their Relations,O153.3
  14. Some Studies on the Radicals and Socles of Modules,O153.3
  15. On Maximal P-Injective Modules and Maximal P-Flat Modules,O153.3
  16. P-flat Modules, P-injective Modules and Some Rings,O153.3
  17. The Generalizations of Injective Modules and the P-injective Radical of Module,O153.3
  18. The Study on Some Characters of Gorenstein Homlogical Dimension,O153.3
  19. General Injective Modules and General PP-rings,O153.3
  20. The Cartan Matrix of an Artin Algebra and Cotilting Module,O153.3

CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Abstract algebra ( Algebra ) > Ring Theory
© 2012 www.DissertationTopic.Net  Mobile