NOTES ON LEFT IDEALS OF SEMIPRIME RINGS WITH MULTIPLICATIVE GENERALIZED (α, α) - DERIVATIONS

被引:0
|
作者
Ulutas, Ercan [1 ]
Golbasi, Oznur [1 ]
机构
[1] Sivas Cumhuriyet Univ, Dept Math, Fac Sci, TR-58140 Sivas, Turkey
来源
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2021年 / 36卷 / 04期
关键词
Derivations; ideals; semiprime rings; PRIME;
D O I
10.22190/FUMI210206067U
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let R be a 2-torsion free semiprime ring, I a nonzero left ideal of R, alpha an automorphism on R and F : R -> R a multiplicative (generalized) (alpha, alpha) - derivation of R associated with a multiplicative (alpha, alpha) - derivation d. In this note, we will give the description of commutativity of semiprime rings with help of some identities involving a multiplicative generalized (alpha, alpha) - derivation and a nonzero left ideal of R.
引用
收藏
页码:903 / 912
页数:10
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