Dissertation > Excellent graduate degree dissertation topics show

About types ~ * - semi- ring dual half- ring

Author: ZhaoChunHua
Tutor: ZhaoXianZhong
School: Northwestern University
Course: Basic mathematics
Keywords: Partial ordering * _ semiring Dual semirings Ascending chain condition Matrix semirings Formal Power Series
CLC: O153.3
Type: Master's thesis
Year: 2011
Downloads: 6
Quote: 0
Read: Download Dissertation

Abstract


This paper is the fixed point theory . * - Semi- ring research results are as follows : 1 . Study the strong induction * - half- ring . Gives a strong induction * - semirings additive idempotents set some properties ; been strong induction * - semi- ring ( summarized * - half ring ) is a sufficient condition of the symmetric strong induction * - half- ring ( symmetric summarized * - half ring) ; prove strong induction * - semirings of formal power series semi- the ring is also a strong induction * - half ring .2 *-λ- semirings satisfy the ascending chain condition (ACC) . meet the ACC *-λ- semirings is continuous * - half rings and symmetric *- λ - semi- ring ; then proves weak meet ACC summarized * - semiring matrix semirings weak summarized * - half ring . thus open problem : \semirings \n ∈ N , n gt; matrix semi- ring Sn × n is not stable Index * - half ring ; exponential stability in the form of a half ring power series semi- ring is exponentially stable semirings .

Related Dissertations

  1. Generalization of Lucas Theorem about Congruence of Binomial Coefficients,O156
  2. On Self-dual Codes over the Ring of Formal Power Series,O157.4
  3. On the Divisibility Property of Fibonacci Sequence,O157
  4. Classical Analytic Methods of Finite Trigonometric Sums,O411.1
  5. About summarized * - semirings and related semi - ring,O153.3
  6. Real Multiplication,O156.21
  7. AC = BD Theory and Its Applications,O241
  8. Research on Some Problems of Indecomposable Modules,O153.3
  9. Some Researches on the Pushout Categories of Abelian Categories and Its Applications,O153.3
  10. Poisson algebra on non-commutative number of studies,O153
  11. A Formula for the Number of Solutions of Certain System of Special Equation over Finite Fields,O153.4
  12. Some Properties of Quasicontinuous Domains and Order Homomorphisms on Continuous Local Dcpos,O153.1
  13. Some Applications of Noncommutative Rota-Baxter Algebras,O153.3
  14. Morphic Ring and Its Generalization,O153.3
  15. The Representations of Birman-Murakami-Wenzl Algebra B8,O153.3
  16. Zero-divisor Graphs of Group Rings,O153.3
  17. The Zero Divisor Graphs of Z_n[ω] and Formal Triangular Matrix Rings,O153.3
  18. Some Studies on Semi-algebras,O153.3
  19. The Zero-divisor Graphs of R(+)M and R(?)I,O153.3
  20. Research on De Morgan Algebra and Relevant Algebraic Structures,O153
  21. Studies on Effect Algebras and Pseudo-effect Algebras,O153

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