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On Identities with Additive Mappings in Rings
Journal article   Open access

On Identities with Additive Mappings in Rings

Abu Zaid Ansari and Department of Mathematics, Faculty of Science, Islamic University of Madinah, K.S.A
IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, Vol.15(1), pp.125-133
01/01/2020

Abstract

Mathematics Physical Sciences Science & Technology
If F, D : R -> R are additive mappings which satisfy F(x(n)y(n)) = x(n)F(y(n)) + y(n)D(x(n)) for all x, y is an element of R. Then, F is a generalized left derivation with associated Jordan left derivation D on R. Similar type of result has been done for the other identity forcing to generalized derivation and at last an example has given in support of the theorems.
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https://doi.org/10.29252/ijmsi.15.1.125View
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