On Square-Closed Lie Ideals and Generalized Homoderivations in Prime Rings

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Published: Nov 25, 2025
DOI: https://doi.org/10.26554/integrajimcs.20252338
Keywords:
Square-Closed Lie Ideal, Generalized Homoderivation, Homoderivation, Prime Ring, Commutativity

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G. Naga Malleswari
Department of Mathematics, VNR Vignana Jyothi Institute of Engineering and Technology, Hyderabad, 500090, India
S. Sreenivasulu
Department of Mathematics, KTS GDC, Rayadurg, 515865, India

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.

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Vol. 2 No. 3 (2025): November
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