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
Copyright Date
1988
Language
en
Proquest ID
AAI8825947
File Format
application/pdf
File Size
36 pages
Recommended Citation
Nimmo, Steven Dale, "Anticommutative derivation alternator rings " (1988). Retrospective Theses and Dissertations. 8796.
https://lib.dr.iastate.edu/rtd/8796
