Posey, E. E.

uncg

There are 7 item/s.

TitleDateViewsBrief Description
The injective envelope of the n x n upper triangular matrix ring over a field 1970 18 The purpose of this thesis is to prove that the full n x n matrix ring over a field F is the injective envelope of the upper triangular n x n matrix ring over F. In order that this paper be self-contained, Chapter II is devoted to the basic definitio...
Convergence in topological spaces 1970 67 This paper will show the inadequacy of sequences to define certain concepts in topological spaces as fundamental as the real numbers. It introduces a generalization of a sequence, called a net, and shows that with nets it is possible to overcome this...
A generalization of the field of fractions of an integral domain 1970 20 In this paper the author deals with the problem of constructing the field of fractions of an integral domain and a generalization of one of the methods of construction used to construct a ring of left quotients for an arbitrary ring. In this generali...
An introduction to knots and knot groups 1970 25 The purpose of this paper is to present an introduction to the theory of knots and knot groups assuming an intermediate knowledge of group theory and topology on the part of the reader. Thus Chapter I is concerned with knots, equivalent knots, and ta...
A consideration of the Riemann-Stieltjes integral for complex-valued functions defined on a real closed interval 1971 142 In view of the fact that most treatments of the Riemann-Stieltjes integral usually consider only real-valued functions, and whereas, complex-valued functions of a certain type are closely related to real-valued functions, it is the purpose of this th...
Analytic functions and complex integration 1971 89 This paper presents some basic theory of analytic function. The class of analytic functions is formed by the complex functions of a complex variable which possess a derivative wherever the function is defined. Beginning with the definition of the der...
Logic 1976 68 This thesis is meant to be an introduction to logic. The first two chapters give general background information. The last two chapters give the details of two of the more basic divisions of logic. Chapter III is on propositional calculus. First the e...