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Additive mappings act as a generalized left (alpha,beta)-derivation in rings
Journal article

Additive mappings act as a generalized left (alpha,beta)-derivation in rings

Faiza Shujat, Abu Zaid Ansari and Fatma Salama
Bollettino della Unione matematica italiana (2008), Vol.12(3), pp.425-430
01/09/2019
DOI: https://doi.org/10.1007/s40574-018-0165-1

Abstract

Mathematics Physical Sciences Science & Technology
If F,D:R -> R are additive mappings satisfyingF(xnyn)=alpha(xn)F(yn)+beta(yn)D(xn) for all x,y is an element of R, where alpha,beta are automorphisms on R, then F becomes generalized left (alpha,beta)-derivation with associated Jordan left (alpha,beta)-derivation D on R under suitable torsion restriction.

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