Dissertation > Excellent graduate degree dissertation topics show
D mode strong maximal TAF algebra
Author: JiangShiPing
Tutor: ChenPeiZuo
School: Nanjing University of Technology and Engineering
Course: Basic mathematics
Keywords: Strongly maximal TAF algebras meet irreducible Dmodule completely meet irreducible Dmodule CMDchain
CLC: O153.3
Type: Master's thesis
Year: 2007
Downloads: 12
Quote: 0
Read: Download Dissertation
Abstract
Strongly maximal TAF algebras is a class of important nonselfadjoint operatoralgebras, whose Dmodules are the basic elements of the algebraic structure, so thestudy of the Dmodules in Strongly maximal TAF algebras is meaningful. This thesis ismainly concerned with the properties of Dmodules in Strongly maximal TAF algebras.In Chapter 1, the background and some preliminary are introduced.In Chapter 2, the concrete form of meet irreducible Dmodules in full up triangularmatrix algebras is studied, and it provides the concrete model and background for thefollowing sections.In Chapter 3, we construct a Dmodule in Strongly maximal TAF algebras, andprove that it is meet irreducible.In Chapter 4, we construct a chain of matrix units in Strongly maximal TAFalgebras, and prove that the corresponded Dmodule to the chain is meet irreducible.In Chapter 5, we consider completely meet irreducible Dmodules in Stronglymaximal TAF algebras, and prove that every completely meet irreducible Dmodulecorresponds to a CMDchain.

Related Dissertations
 Poisson algebra on noncommutative number of studies,O153
 Weak Hoft nature and weak algebraic invariants Hoft mold research,O153.3
 Some Properties of QuasiC Poset and Generalized Completely Distributive Poset,O153.1
 Some Studies About Semirings,O153.3
 The Characterization of Generators and Cogenerators in the Category of Semimodules,O153.3
 Commutativity of Rings with Constraints on Varying Polynomial Equality,O153.3
 Overview of the vertex algebra and mirror symmetry,O153
 A Study on Soft Ring Theory,O153.3
 The Algorithms of Generating Concept Lattice,O153.1
 Properties of Fitting Sets and Injecters of Fitting Sets,O153.3
 The Characterization of Congruences on Inverse Semirings,O153.3
 Some Properties of Strong Raney Posets and HCPosets,O153.1
 Some Notes on Endomorphism Rings of Quasi AP (AGP)Injective Modules,O153.3
 Derivations and Generalized Derivations in Prime Rings,O153.3
 Dialgebras and Associative Algebras,O153
 Computational Problems and Properties Over the Rings of Some Algebraic Integers,O153.3
 Research on the wrelativity of an Arbitrary Module Pure Mathematics,O153.3
 On φProjective Modules, φInjective Modules and φFlat Modules,O153.3
 Ockham Algebras with Double Demipseudocomplementation and Others,O153.2
 αSymmetric Ring, Weak αSemicommutative Ring and Weak (α,δ)Reversible Ring,O153.3
 An Extremal Problem on Anisotropic Corners in Finite Field,O153.4
CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Abstract algebra ( Algebra ) > Ring Theory
© 2012 www.DissertationTopic.Net Mobile
