Let (Formula presented.) be a prime ring of characteristic different from (Formula presented.) , (Formula presented.) its right Utumi quotient ring, (Formula presented.) its extended centroid, (Formula presented.) a non-zero generalized derivation of (Formula presented.) , (Formula presented.) be an element of (Formula presented.) , (Formula presented.) a non-zero right ideal of (Formula presented.) such that (Formula presented.) and (Formula presented.) fixed integers. If (Formula presented.) , for any (Formula presented.) , then either there exist (Formula presented.) and (Formula presented.) , such that (Formula presented.) and (Formula presented.) , or (Formula presented.). © 2015, The Managing Editors.
Annihilating and Engel conditions on right ideals with generalized derivations
DE FILIPPIS, Vincenzo;SCUDO, GIOVANNI
2016-01-01
Abstract
Let (Formula presented.) be a prime ring of characteristic different from (Formula presented.) , (Formula presented.) its right Utumi quotient ring, (Formula presented.) its extended centroid, (Formula presented.) a non-zero generalized derivation of (Formula presented.) , (Formula presented.) be an element of (Formula presented.) , (Formula presented.) a non-zero right ideal of (Formula presented.) such that (Formula presented.) and (Formula presented.) fixed integers. If (Formula presented.) , for any (Formula presented.) , then either there exist (Formula presented.) and (Formula presented.) , such that (Formula presented.) and (Formula presented.) , or (Formula presented.). © 2015, The Managing Editors.Pubblicazioni consigliate
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