Degree Type

Dissertation

Date of Award

1988

Degree Name

Doctor of Philosophy

Department

Mathematics

First Advisor

I. R. Hentzel

Abstract

In this dissertation, we study nonassociative rings that satisfy xy = -yx and ((yx)x)x = y((zx)x) + ((yx)x)z. These rings are called anticommutative derivation alternator rings. In Section II, we shall show some basic properties of the multiplication in rings of this type. In Section III, we shall show the structure of a special type of simple anticommutative derivation alternator rings. Finally, in Section IV, we shall show conditions under which the product (xy)z is zero.

DOI

https://doi.org/10.31274/rtd-180813-12147

Publisher

Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/

Copyright Owner

Steven Dale Nimmo

Language

en

Proquest ID

AAI8825947

File Format

application/pdf

File Size

36 pages

Included in

Mathematics Commons

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