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  Partner: UNT Libraries
 Degree Discipline: Mathematics
 Collection: UNT Theses and Dissertations
Some Properties of Valuation Rings

Some Properties of Valuation Rings

Date: August 1971
Creator: Miller, Linda C.
Description: This thesis investigates some of the properties of valuation rings. It is assumed that the reader is familiar with the basic properties of commutative rings and ideals in rings. Unless otherwise stated, all rings considered in this thesis are commutative rings with a unity.
Contributing Partner: UNT Libraries
Algebraic Properties of Semigroups

Algebraic Properties of Semigroups

Date: May 1971
Creator: Lumley, Robert Don
Description: 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.
Contributing Partner: UNT Libraries
Ideals in Quadratic Number Fields

Ideals in Quadratic Number Fields

Date: May 1971
Creator: Hamilton, James C.
Description: 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.
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Radicals of a Ring

Radicals of a Ring

Date: May 1971
Creator: Crawford, Phyllis Jean
Description: 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.
Contributing Partner: UNT Libraries
Set Function Integrals and Absolute Continuity

Set Function Integrals and Absolute Continuity

Date: May 1971
Creator: Hootman, Robert W.
Description: The purpose of this thesis is to investigate a theory of integration of real-valued functions defined on fields of sets.
Contributing Partner: UNT Libraries
Separation Properties

Separation Properties

Date: December 1970
Creator: Garvin, Billy Ray
Description: The problem with which this paper is concerned is that of investigating a class of topological properties commonly called separation properties. A topological space which satisfies only the definition may be very limited in open sets. By use of the separation properties, specific families of open sets can be guaranteed.
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An Invariant Integral Over a Compact Topological Group

An Invariant Integral Over a Compact Topological Group

Date: August 1970
Creator: Nelson, John D.
Description: The purpose of this paper is to develop an invariant integral for a compact topological group and, then to use that integral to prove the fundamental Peter-Weyl Theorem.
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Prime Ideals in Commutative Rings

Prime Ideals in Commutative Rings

Date: August 1970
Creator: Clayton, Marlene H.
Description: This thesis is a study of some properties of prime ideals in commutative rings with unity.
Contributing Partner: UNT Libraries
Some Properties of Commutative Rings Without a Unity

Some Properties of Commutative Rings Without a Unity

Date: August 1970
Creator: Stevens, Charles S.
Description: This thesis investigates some of the properties of commutative rings which do not necessarily contain a multiplicative identity (unity).
Contributing Partner: UNT Libraries
Convex Sets in the Plane

Convex Sets in the Plane

Date: June 1970
Creator: McPherson, Janie L.
Description: The purpose of this paper is to investigate some of the properties of convex sets in the plane through synthetic geometry.
Contributing Partner: UNT Libraries