Let be a semiprime ring with centre , its right Martindale quotient ring, its extended centroid, a generalized skew derivation of , associated with a non-zero skew derivation of , and fixed integers such that , for all . Then contains a non-zero central ideal. The case of centralizers (generalized skew derivations associated with a zero skew derivation) is also studied.
Titolo: | Generalized skew derivations on semiprime rings |
Autori: | |
Data di pubblicazione: | 2015 |
Rivista: | |
Abstract: | Let be a semiprime ring with centre , its right Martindale quotient ring, its extended centroid, a generalized skew derivation of , associated with a non-zero skew derivation of , and fixed integers such that , for all . Then contains a non-zero central ideal. The case of centralizers (generalized skew derivations associated with a zero skew derivation) is also studied. |
Handle: | http://hdl.handle.net/11570/3008570 |
Appare nelle tipologie: | 14.a.1 Articolo su rivista |
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