REMARKS ON GENERALIZED DERIVATIONS IN ∗−PRIME RINGS

Document Type : Original Manuscript

Author

Department of Mathematics, IBB University, IBB, Yemen.

10.22044/jas.2024.13252.1732

Abstract

Let (R, ∗) be a ∗−prime ring with characteristic different from two, and L ̸= 0
be a square closed ∗−Lie ideal of R. An additive mapping F : R −→ R is called
a generalized derivation on R if there exists a derivation d : R −→ R such that
F(xy) = F(x)y + xd(y) for all x, y ∈ R. In the present paper, we shall show that
when L satisfies any of several identities in F, then L is central.

Keywords

References

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Journal of Algebraic Systems
Volume 14, Issue 1
January 2026
Pages 135-143

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