by Leung Yiu-chung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1994. / Includes bibliographical references (leaves 79-81). / 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 CS-modules --- 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 CS-modules --- p.44 / Chapter 3.5 --- Weak CS -modules --- p.50 / Chapter 3.5.1 --- Decomposition of Weak CS-modules --- p.53 / Chapter 3.6 --- Generalization of GCS-modules --- p.54 / Chapter 3.7 --- On CESS-modules --- p.57 / Chapter 3.7.1 --- On the decomposition of CESS-modules --- p.59 / Chapter 4 --- Non-Singular Rings --- p.63 / Chapter 4.1 --- CS-modules and CS-endomorphism rings --- p.63 / Chapter 4.2 --- Categorical Equivalence and Morita Equivalence --- p.70 / Chapter 4.3 --- Categories of CS-modules --- p.74 / Bibliography --- p.79

by Ng Yin Fun. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2000. / Includes bibliographical references (leaves 50-51). / Abstracts in English and Chinese. / Acknowledgments --- p.i / Abstract --- p.ii / Introduction --- p.3 / Chapter 1 --- Preliminaries --- p.4 / Chapter 1.1 --- Hilbert C*-modules --- p.4 / Chapter 2 --- Self-dual Hilbert C*-modules --- p.14 / Chapter 2.1 --- Self-duality --- p.14 / Chapter 2.2 --- Self-duality and some related concepts --- p.22 / Chapter 2.3 --- A criterion of self-duality of HA --- p.23 / Chapter 3 --- Hilbert W*-modules --- p.25 / Chapter 3.1 --- Extension of the inner product to --- p.25 / Chapter 3.2 --- Extension of operators to --- p.33 / Chapter 3.3 --- Self-dual Hilbert W*-modules --- p.36 / Chapter 3.4 --- Some equivalent conditions for a Hilbert W*-module to be self-dual --- p.43 / Bibliography --- p.50

by Chui Chee Ping. / Thesis (M.Ph.)--Chinese University of Hong Kong, 1987. / Bibliograhph: leaves 47-49.

Fast algorithms for N-point shifted discrete Fourier transform (SDFT) are proposed by efficient matrix factorization¡DThe resulted matrix decomposition is realized by a cascade of several basic computation blocks with each block implemented by a parameterized IP module¡DBy combining these modules with different parameters, it is easy to implement a wide variety of digital transforms, such as DCT/IDCT in image/video coding, and modified DCT (MDCT) in audio coding¡D The transform processors realized using the parameterized IP modules have advantages of locality¡Amodularity¡Aregularity¡Alow-cost¡Aand high-throughput¡D Furthermore ¡Athe computation accuracy can be easily controlled by selecting different numbers of IP modules with proper parameters in the processors.

Diss.--Math.--Darmstadt--Technische Universität, 2001. / Bibliogr. p. 81-84. Index.

Thèse doctorat : Mathématiques : Strasbourg 1 : 2006. / Titre provenant de l'écran-titre. Bibliogr. 3 p.

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.

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