"Convergence Relations On Universal Algebras." by Allan Matlock Weber Carstens

Publication Date

5-17-1967

Abstract

In this paper we derive some first results on convergence algebras, which are universal algebras with a convergence structure. The first concept was defined some time ago and a unified study of it is available in [4]. Convergence functions were first defined in [7] and have been studied in further works by Kent and others. Kent also investigated the results of imposing a convergence structure on an algebraic structure, in the special case of convergence groups [8]. Our results on loops and quasigroups extend some of his.

Degree Name

Mathematics

Level of Degree

Doctoral

Department Name

Mathematics & Statistics

First Committee Member (Chair)

Illegible

Second Committee Member

Lambert Herman Koopmans

Third Committee Member

Eugene Francis Steiner

Language

English

Document Type

Dissertation

Share

COinS