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  Partner: UNT Libraries
 Department: Department of Mathematics
 Collection: UNT Theses and Dissertations
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.
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Some Properties of Ideals in a Commutative Ring

Some Properties of Ideals in a Commutative Ring

Date: August 1973
Creator: Hicks, Gary B.
Description: This thesis exhibits a collection of proofs of theorems on ideals in a commutative ring with and without a unity. Theorems treated involve properties of ideals under certain operations (sum, product, quotient, intersection, and union); properties of homomorphic mappings of ideals; contraction and extension theorems concerning ideals and quotient rings of domains with respect to multiplicative systems; properties of maximal, minimal, prime, semi-prime, and primary ideals; properties of radicals of ideals with relations to quotient rings, semi-prime, and primary ideals.
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Properties of an Integral of E.J. McShane

Properties of an Integral of E.J. McShane

Date: August 1973
Creator: Dennis, Thomas B.
Description: The problem with which this paper is concerned is that of investigating the properties of an integral which was first defined by E. J. McShane in lecture notes presented at the Conference on Modern Theories of Integration, held at the University of Oklahoma in June, 1969.
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Exhaustibility and Related Set Properties

Exhaustibility and Related Set Properties

Date: 1950
Creator: Cargal, Buchanan
Description: The purpose of this paper is to develop certain fundamental properties of exhaustible sets and their complements and to examine various set properties which are generalizations, with respect to exhaustible neglect, or well-known set properties.
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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.
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Rings of Continuous Functions

Rings of Continuous Functions

Date: August 1971
Creator: Connell, Carolyn
Description: The purpose of this paper is to examine properties of the ring C(X) of all complex or real-valued continuous functions on an arbitrary topological space X.
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On Lane's Integral

On Lane's Integral

Date: August 1971
Creator: Hill, William James
Description: The problem and purpose of this paper is to develop Lane's Integral in two-space, and then to expand these concepts into three-space and n-space. Lane's Integral can be used by both mathematicians and statisticians as one of the tools in the calculation of certain probabilities and expectations. The method of presentation is straightforward with the basic concepts of integration theory and Stieltjes Integral assumed.
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The Fundamental Group of Certain Toplogical Spaces

The Fundamental Group of Certain Toplogical Spaces

Date: December 1971
Creator: Hopkins, Billy L.
Description: The problem confronted in this thesis is that of determining direct calculations of the fundamental group of certain topological spaces.
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Inequalities and Set Function Integrals

Inequalities and Set Function Integrals

Date: December 1971
Creator: Milligan, Kenneth Wayne
Description: This thesis investigates some inequalities and some relationships between function properties and integral properties.
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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.
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