by Ng Siu-Hung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1992. / Includes bibliographical references (leaves 80-81). / Introduction --- p.iii / Chapter 1 --- Distributive Modules --- p.1 / Chapter 1.1 --- Basic Definitions --- p.1 / Chapter 1.2 --- Distributive modules --- p.3 / Chapter 1.3 --- Direct sum of distributive modules --- p.9 / Chapter 1.4 --- Endomorphisms of a distributive module --- p.13 / Chapter 1.5 --- Distributive modules satisfying chain conditions --- p.20 / Chapter 2 --- Rings with distributive lattices of right ideals --- p.25 / Chapter 2.1 --- Rings of quotients of right D-rings --- p.25 / Chapter 2.2 --- Localization of right D-rings --- p.28 / Chapter 2.3 --- Reduced primary factorizations in right ND-rings --- p.31 / Chapter 2.4 --- ND-rings --- p.38 / Chapter 3 --- Distributive modules over commutative rings --- p.43 / Chapter 3.1 --- Multiplication modules --- p.43 / Chapter 3.2 --- Properties of distributive modules over commutative rings --- p.48 / Chapter 3.3 --- Distributive modules over arithematical rings --- p.52 / Chapter 4 --- Chinese Modules and Universal Chinese rings --- p.59 / Chapter 4.1 --- Introduction --- p.59 / Chapter 4.2 --- Chinese Modules and CRT modules --- p.61 / Chapter 4.3 --- Universal Chinese Rings --- p.65 / Chapter 4.4 --- Chinese modules over Noetherian domains --- p.70 / Chapter 4.5 --- Remarks on CRT modules --- p.77 / Bibliography --- p.80

by Chi-Kwan Leung. / "July 2002." / Thesis (Ph.D.)--Chinese University of Hong Kong, 2002. / Includes bibliographical references (p. 106-109). / Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Mode of access: World Wide Web. / Abstracts in English and Chinese.

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The Wedderburn-Artin Theorem (1927) characterised semisimple Artinian rings as finite direct products of matrix rings over division rings. In attempting to generalise Wedderburn's theorem, the natural starting point will be to assume R/RadR is semisimple Artinian. Such rings are called semilocal. They have not been completely characterised to date. If additional conditions are imposed on the radical then more is known about the structure of R. Semiprimary and perfect rings are those rings in which the radical is nilpotent and T-nilpotent respectively. In both these cases the radical is nil, and in rings in which the radical is nil, idempotents lift modulo the radical. Rings which have the latter property are called semiperfect. The characterisation problem of such rings has received much attention in the last few decades. We study semiperfect rings with a somewhat strong condition arising out of the status of generators in the module categories. More specifically, a ring R is CFPF iff every homomorphic image of R has the property that every finitely generated faithful module over it generates the corresponding module category. The objective of this thesis is to develop the theory that leads to the complete characterisation of semiperfect right CFPF rings. It will be shown (Theorem 6.3.17) that these rings are precisely finite products of full matrix rings over right duo right VR right a-cyclic right CFPF rings. As far as possible theorems proved in Lambek [16] or Fuller and Anderson [12] have not been reproved in this thesis and these texts will serve as basic reference texts. The basis for this thesis was inspired by results contained in the first two chapters of the excellent LMS publication "FPF Ring Theory" by Carl Faith and Stanley Page [11]. Its results can be traced to the works of G. Azumaya [23], K. Morita [18], Nakayama [20;21], H. Bass [4;5], Carl Faith [8;9;10], S. Page [24;25] and B. Osofsky [22]. Our task is to bring the researcher to the frontiers of FPF ring theory, not so much to present anything new. / Thesis (M.Sc.)-University of Durban-Westville, 1987.

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A well known fact of classical analysis is that the Stone- Cech compacti cation of a Tychono space is achieved as the structure space of the commutative unitary ring of real valued continuous functions de ned on it. An extension of this result is obtained [1] using semiring of non-negative real valued continuous functions on the Tychono space. The present work makes a survey of this paper and attempts to extend this to the point free domain, in which it is shown that the collection of frame homomorphisms from the frame of non-negative reals to a frame is a semiring again. / Thesis (M.Sc.)-University of KwaZulu-Natal, Westville, 2012.

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Thesis (Ph. D.)--University of Wisconsin--Madison, 1941. / Typescript. Includes abstract and vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaf [61]).