Annihilating and Engel conditions on right ideals with generalized derivations

被引：0

作者：

De Filippis V. ^{[1
]}

Scudo G. ^{[1
]}

机构：

[1] Department of Mathematics and Computer Science, University of Messina, Messina

来源：

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry | 2016年 / 57卷 / 1期

关键词：

Differential identity; Generalized derivation; Prime ring;

D O I：

10.1007/s13366-015-0236-8

中图分类号：

学科分类号：

摘要：

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.

引用

页码：155 / 172

页数：17

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