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All Journal Integra: Journal of Integrated Mathematics and Computer Science
G. Naga Malleswari
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Computer Science & IT Mathematics

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On Square-Closed Lie Ideals and Generalized Homoderivations in Prime Rings G. Naga Malleswari; S. Sreenivasulu
Integra: Journal of Integrated Mathematics and Computer Science Vol. 2 No. 3 (2025): November
Publisher : Magister Program of Mathematics, Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/integrajimcs.20252338

Abstract

Let M be a square-closed noncentral Lie ideal of a prime ring R with char(R) ≠ 2. An additive mapping G on R is defined as a generalized homoderivation if it satisfies G(στ) = G(σ) h(τ) + G′(σ) y + x h(τ) for all σ and τ in R. This paper focuses on studying generalized homoderivations of prime rings using square-closed Lie ideals that satisfy certain differential identities.
Co-Authors S. Sreenivasulu