On symmetric Jordan and Jordan left bi-derivations of prime rings

被引：0
|
作者：
Çeven Y. [1 ]
Çiloğlu Z. [1 ]
机构：
[1] Department of Mathematics, Faculty of Arts and Sciences, Süleyman Demirel University, Isparta
来源：
Afrika Matematika | 2018年 / 29卷 / 5-6期
关键词：
Symmetric Jordan bi-derivation; Symmetric Jordan left bi-derivation;
D O I：
10.1007/s13370-018-0570-8
中图分类号：
学科分类号：
摘要：
In this paper, we investigated some properties of symmetric Jordan bi-derivation and symmetric Jordan left bi-derivation for associative rings. We showed that for an associative prime ring with charR≠ 2 if D is a symmetric Jordan bi-derivation then D is symmetric bi-derivation. And also we showed that for a 2-torsion free and 3-torsion free prime ring, if there exists a nonzero symmetric Jordan left bi-derivation D then R is commutative. © 2018, African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature.
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页码：689 / 698
页数：9
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