Anticommutative derivation alternator rings
Date
1988
Authors
Nimmo, Steven
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I. R. Hentzel
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Mathematics
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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.
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Fri Jan 01 00:00:00 UTC 1988