LIE IDEALS WITH SYMMETRIC LEFT BI-DERIVATIONS IN PRIME RINGS
Keywords:
prime ring, symmetric mapping, trace, derivation, symmetric bi-derivation, symmetric bi-additive mapping, symmetric left bi-derivationAbstract
Let R be a prime ring and U be a nonzero lie ideal of R. A symmetric bi-additive mapping D(., .) : R × R \(\longrightarrow\) R is called a symmetric bi-derivation and d is a trace of D. In this paper we shall show that U ⊆ Z(R) such that R admitting the trace d satisfying the several conditions of symmetric left bi-derivation.
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Published
2019-02-27
How to Cite
Reddy, C. J., Kumar, S. V., & Reddy, K. M. (2019). LIE IDEALS WITH SYMMETRIC LEFT BI-DERIVATIONS IN PRIME RINGS. Italian Journal of Pure and Applied Mathematics, 41, 158–166. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7140
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Articoli - Forum Editrice
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Copyright (c) 2019 C. Jayasubba Reddy, S. Vasantha Kumar, K. Madhusudhan Reddy
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
