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.
Generalized skew derivations on semiprime rings
DE FILIPPIS, Vincenzo;
2015-01-01
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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
