Anticommutative derivation alternator rings

Thumbnail Image
Date
1988
Authors
Nimmo, Steven
Major Professor
Advisor
I. R. Hentzel
Committee Member
Journal Title
Journal ISSN
Volume Title
Publisher
Altmetrics
Authors
Research Projects
Organizational Units
Organizational Unit
Journal Issue
Is Version Of
Versions
Series
Department
Mathematics
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.

Comments
Description
Keywords
Citation
Source
Subject Categories
Keywords
Copyright
Fri Jan 01 00:00:00 UTC 1988