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1 
Confinitely amply weakly supplemented modules./Menemen, Filiz. Alizde, Rarail January 2005 (has links) (PDF)
Thesis (Master)İzmir Institute of Technology, İzmir, 2005 / Keywords:Supplemented modules, cofinitely supplemented modules, cofinitely amply supplemented modules, cofinitely amply weakly supplemented modules. Includes bibliographical references (leaves 23).

2 
NAK for Ext, Ascent of Module Structures, and the Blindness of Extended ModulesAnderson, Benjamin John January 2012 (has links)
This dissertation investigates the interplay between properties of Ext modules and ascent of module structures along ring homomorphisms. First, we consider a flat local ring homomorphism ϕ: (R, [special characters omitted], k) → (S, [special characters omitted]S, k). We show that if M is a finitely generated Rmodule such that [special characters omitted](S, M) satisfies NAK (e.g. if [special characters omitted](S, M) is finitely generated over S) for i = 1,…, dimR( M), then [special characters omitted](S, M) = 0 for all i ≠ 0 and M has an Smodule structure via ϕ. We also provide explicit computations of [special characters omitted](S, M) to indicate how large it can be when M does not have a compatible Smodule structure.
Next, we consider the properties of an Rmodule M that has a compatible Smodule structure via the flat local ring homomorphism ϕ. Our results in this direction show that M cannot see the difference between the rings R and S. Specifically, many homological invariants of M are the same when computed over R and over S.
Finally, we investigate these ideas in the nonlocal setting. We consider a faithfully flat ring homomorphism ϕ: R → S such that for all [special characters omitted] ∈ mSpec R, the map R/[special characters omitted] → S/[special characters omitted]S is an isomorphism and the induced map ϕ*: Spec( S) → Spec(R) is such that ϕ*(mSpec( S)) ⊆ mSpec(R), and show that if M is a finitely generated Rmodule such that [special characters omitted](S, M) satisfies NAK for i = 1,…,dim R(M), then M has an Smodule structure via ϕ, and obtain the same Ext vanishing as in the local case.

3 
Generalized injectivity of noncommutative ring theory.January 1994 (has links)
by Leung Yiuchung. / Thesis (M.Phil.)Chinese University of Hong Kong, 1994. / Includes bibliographical references (leaves 7981). / Introduction / Chapter 1  Preliminaries  p.1 / Chapter 1.1  Chain Conditions  p.4 / Chapter 1.2  Categories of Modules  p.5 / Chapter 1.3  Projectivity and Injectivity  p.5 / Chapter 2  Generalization on CS modules  p.11 / Chapter 2.1  Introduction  p.11 / Chapter 2.2  Preliminaries  p.12 / Chapter 2.3  CS ring ´ؤ A generalization of injectivity  p.16 / Chapter 2.4  GCS ring ´ؤ A further generalization of CS ring  p.19 / Chapter 2.5  Generalized CSmodules  p.24 / Chapter 2.5.1  Direct Sum of Uniform Modules  p.25 / Chapter 2.5.2  GCS modules as direct sum of uniform modules  p.28 / Chapter 3  Ascending Chain Condition on Essential Submodules  p.35 / Chapter 3.1  Introduction  p.35 / Chapter 3.2  Preliminaries  p.36 / Chapter 3.3  Continuous rings with ACC on essential ideals  p.38 / Chapter 3.4  Analogous Results On CSmodules  p.44 / Chapter 3.5  Weak CS modules  p.50 / Chapter 3.5.1  Decomposition of Weak CSmodules  p.53 / Chapter 3.6  Generalization of GCSmodules  p.54 / Chapter 3.7  On CESSmodules  p.57 / Chapter 3.7.1  On the decomposition of CESSmodules  p.59 / Chapter 4  NonSingular Rings  p.63 / Chapter 4.1  CSmodules and CSendomorphism rings  p.63 / Chapter 4.2  Categorical Equivalence and Morita Equivalence  p.70 / Chapter 4.3  Categories of CSmodules  p.74 / Bibliography  p.79

4 
A study report on the uniqueness of injective III1factors.January 1987 (has links)
by Chui Chee Ping. / Thesis (M.Ph.)Chinese University of Hong Kong, 1987. / Bibliograhph: leaves 4749.

5 
Diagonalizable subalgebras of the first Weyl algebraTan, Xiaobai. January 2009 (has links)
Thesis (M. Sc.)University of Alberta, 2009. / Title from pdf file main screen (viewed on Dec. 10, 2009). "A thesis submitted to the Faculty of Graduate Studies and Research in partial fulfillment of the requirements for the degree of Master of Science in Pure Mathematics, Department of Mathematical and Statistical Sciences, University of Alberta." Includes bibliographical references.

6 
On characteristic p Verma modules and subalgebras of the hyperalgebraCarstensen, Vivi January 1994 (has links)
Let G be a finite dimensional semisimple Lie algebra; we study the class of infinite dimensional representations of Gcalled characteristic p Verma modules. To obtain information about the structure of the Verma module Z(λ) we find primitive weights μ such that a nonzero homomorphism from Z(μ) to Z(λ) exists. For λ + ρ dominant, where ρ is the sum of the fundamental roots, there exist only finitely many primitive weights, and they all appear in a convex, bounded area. In the case of λ + ρ not dominant, and the characteristic p a good prime, there exist infinitely many primitive weights for the Lie algebra. For G = sl<sub>3</sub> we explicitly present a large, but not necessarily complete, set of primitive weights. A method to obtain the Verma module as the tensor product of Steinberg modules and Frobenius twisted Z(λ<sub>1</sub>) is given for certain weights, λ = p<sup>n</sup> λ<sub>1</sub> + (p<sup>n</sup> — 1)ρ. Furthermore, a result about exact sequences of Weyl modules is carried over to Verma modules for sl<sub>2</sub>. Finally, the connection between the subalgebra u¯<sub>1</sub> of the hyperalgebra U for a finite dimensional semisimple Lie algebra, and a group algebra KG for some suitable pgroup G is studied. No isomorphism exists, when the characteristic of the field is larger than the Coxeter number. However, in the case of p — 2 we find u¯<sub>1</sub>sl<sub>3</sub>≈ KG. Furthermore, we determine the centre ofu¯<sub>n</sub>sl<sub>3</sub>, and we obtain an alternative Kbasis of U.

7 
Coefficient space properties and a Schur algebra generalizationTurner, David P., January 2005 (has links) (PDF)
Thesis (Ph.D.)Auburn University, 2005. / Abstract. Vita. Includes bibliographic references (ℓ. 43) and index.

8 
On rings with distinguished ideals and their modulesBuckner, Joshua. Dugas, Manfred. January 2007 (has links)
Thesis (Ph.D.)Baylor University, 2007. / In abstract "s and z " are subscript. Includes bibliographical references (p. 5455).

9 
Generalization of cofinitely supplemented modules to lattıces /Çetindil, Yasin. Alizade, Rafail, January 2005 (has links) (PDF)
Thesis (Master)İzmir Institute of Technology, İzmir, 2005. / Keywords: Supplemented modules, cofinitely supplemented modules, cofinitely supplemented lattices, generalization of supplemented modules, generalization of cofinitely supplemented modules. Includes bibliographical references (leaves .p26).

10 
Reflexive Moduln auf einfachelliptischen FlächensingularitätenKahn, Constantin P. M. January 1988 (has links)
Thesis (doctoral)Universität Bonn, 1988. / Includes bibliographical references (p. 179184).

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