Physical Sciences and Mathematics Commons^™

Endomorphisms And Translations Of Semigroups, Eldon E. Posey

Masters Theses

This thesis is a study of some of the properties of mappings or semigroups into semigroups. In Section 1, definitions and basic concepts are given, with brief mention of some well known properties of semigroups and of mappings. Section 2 is devoted to a few theroems which are useful in the process of finding the semigroup of all endomorphisms of a given semigroup. When theorems on endomorphisms are valid in the more general situation in which a semigroup is mapped homomorphically on another semigroup, we state and prove the theorems in the more general setting. Section 3 consists of some …

Direct And Semidirect Products Of Semigroups, John Charles Harden

Masters Theses

The purpose of this thesis is to exhibit the direct products and the semidirect products of semigroups of orders two, three, and four. Section I consists of the definitions necessary for the proofs and computations which appear in the first five sections. In Section 2 theorems on direct products of semigroups of any order are proved. A method of writing by inspection the multiplication table of the direct product of two finite semigroups is presented in Section 3. Section 4 consists of tables listing the direct products of semigroups of order two with semigroups of orders two, three and four …

Semigroup Ideals, Kenneth Scott Carmen

Masters Theses

In the literature of ideals a left ideal L of a system S has usually been defined by the inclusion of SL ⊆ L and a right ideal R by the inclusion RS ⊆ R. On the other hand a left zero element z is usually defined by the equation za = z and a right zero element by the equation az = z ; similarly a left or right identity element e is defined by the equation ea = a or ae = a respectively. The author has in this paper made the terms left and right when applied …

Petrography Of The Chilhowee Group, Near Walland, Tennessee, George David Swingle

Masters Theses

Introduction: Time and the stratigraphic relationships of the Ocoee and Chilhowee groups have long been a problem in southern Appalachian geology. These rocks, now metamorphosed to varying degrees, outcrop over wide areas in the mountain region. Unfortunately, no one person has been able to study their problems in enough detail to unravel them and, as a result, many conflicting statements are in the literature.

Formations of the Ocoee and Chilhowee groups are largely composed of fine to coarse clastic sediments. In general, rocks of the Ocoee group lie to the southeast; those of the Chilhowee group to the northeast. The …

A Study Of Steric Inhibition Of The Pfitzinger Reaction, Robert Earl Stobaugh

Masters Theses

(From Introduction)

A survey of the Pfitzinger reaction reveals that little attention has been given to the steric factors likely to govern the course of the condensation; a major part of the research done has dealt with its value as a synthetic tool.

The primary purpose of this work was to add further information concerning steric inhibition in the Pfitzinger reaction; it was also hoped that the cinchoninic acids obtained might show physiological activity.