Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1262480 | Journal of Taibah University for Science | 2014 | 5 Pages |
Abstract
In the present note, we use a pair of rings, which are the ingredients of a Morita context, and obtain that if one of the ring is prime with the generalized (α, β)-derivations that satisfy certain conditions on the trace ideal of the ring, which by default is a Lie ideal, and the other ring is reduced, then the trace ideal of the reduced ring is contained in the center of the ring. As an outcome, in case of a semi-projective Morita context, the reduced ring becomes commutative.
Related Topics
Physical Sciences and Engineering
Chemistry
Chemistry (General)
Authors
Nadeem ur Rehman, Motoshi Hongan, Radwan M. Al-Omary,