Degree Discipline

Month

Set Function Integrals and Absolute Continuity (open access)

Set Function Integrals and Absolute Continuity

The purpose of this thesis is to investigate a theory of integration of real-valued functions defined on fields of sets.
Date: May 1971
Creator: Hootman, Robert W.
System: The UNT Digital Library
Algebraic Properties of Semigroups (open access)

Algebraic Properties of Semigroups

This paper is an algebraic study of selected properties of semigroups. Since a semigroup is a result of weakening the group axioms, all groups are semigroups. One facet of the paper is to demonstrate various semigroup properties that induce the group axioms.
Date: May 1971
Creator: Lumley, Robert Don
System: The UNT Digital Library
Radicals of a Ring (open access)

Radicals of a Ring

The problem with which this investigation is concerned is that of determining the properties of three radicals defined on an arbitrary ring and determining when these radicals coincide. The three radicals discussed are the nil radical, the Jacobsson radical, and the Brown-McCoy radical.
Date: May 1971
Creator: Crawford, Phyllis Jean
System: The UNT Digital Library
Ideals in Quadratic Number Fields (open access)

Ideals in Quadratic Number Fields

The purpose of this thesis is to investigate the properties of ideals in quadratic number fields, A field F is said to be an algebraic number field if F is a finite extension of R, the field of rational numbers. A field F is said to be a quadratic number field if F is an extension of degree 2 over R. The set 1 of integers of R will be called the rational integers.
Date: May 1971
Creator: Hamilton, James C.
System: The UNT Digital Library