Date of Award
Doctor of Philosophy
I. R. Hentzel
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.
Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/
Steven Dale Nimmo
Nimmo, Steven Dale, "Anticommutative derivation alternator rings " (1988). Retrospective Theses and Dissertations. 8796.