Research Journal of Pharmacy and Technology

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0974-3618 (Print)


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Symmetric Reverse Bi-Derivations on Prime Rings

Author(s): C. Jaya Subba Reddy, M. Ramakrishna Naik

Email(s): cjsreddysvu@gmail.com , ramsanthu950@gmail.com

DOI: 10.5958/0974-360X.2016.00291.2   

Address: Dr. C. Jaya Subba Reddy, M. Ramakrishna Naik
Department of Mathematics, S.V. University, Tirupati – 517502, Andhra Pradesh, India.
*Corresponding Author

Published In:   Volume - 9,      Issue - 9,     Year - 2016

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ABSTRACT:
Let R be a 2, 3-torsion free prime ring. Let D:(.,.):R×R?Rand dbe a symmetric reverse bi-derivation and the trace of D respectively.If d is commuting orcentralizing on R.Then D=0.LetD_1:(.,.):R×R?R,? D?_2:(.,.):R×R?R aresymmetric reverse bi-derivations and B(.,.):R×R?R be a symmetric bi-additive mapping. If D_1 (d_2 (x),x)=0 and d_1 (d_2 (x) )=f(x), for all x?R, where d_1,? d?_2and f are the traces ofD_1,? D?_2 and B. In this case either D_1=0or D_2=0.


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Cite this article:
C. Jaya Subba Reddy, M. Ramakrishna Naik. Symmetric Reverse Bi-Derivations on Prime Rings. Research J. Pharm. and Tech 2016; 9(9):1496-1500. doi: 10.5958/0974-360X.2016.00291.2


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RNI: CHHENG00387/33/1/2008-TC                     
DOI: 10.5958/0974-360X 

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Research Journal of Pharmacy and Technology (RJPT) is an international, peer-reviewed, multidisciplinary journal, devoted to pharmaceutical sciences. The aim of RJPT is to increase the impact of pharmaceutical research both in academia and industry, with strong emphasis on quality and originality. RJPT publishes Original Research Articles, Short Communications, Review Articles in all areas of pharmaceutical sciences from the discovery of a drug up to clinical evaluation. Topics covered are: Pharmaceutics and Pharmacokinetics; Pharmaceutical chemistry including medicinal and analytical chemistry; Pharmacognosy including herbal products standardization and Phytochemistry; Pharmacology: Allied sciences including drug regulatory affairs, Pharmaceutical Marketing, Pharmaceutical Microbiology, Pharmaceutical biochemistry, Pharmaceutical Education and Hospital Pharmacy.    
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