Generalized Semiderivations and Semimultipliers in Semiprime Ideals

G.Naga Malleswari (Department of Mathematics, VNR Vignana Jyothi Institute of Engineering and Technology, Hyderabad, 500118, India)
S.Sreenivasulu (Department of Mathematics, KTS GDC, Rayadurg, Anantapur, 515865, India)

Integra: Journal of Integrated Mathematics and Computer Science
Vol. 3 No. 3 (2026): Future Issue : November

In this study, we examine the behavior of a ring A when it admits a generalized semiderivation Φ associated with a semiderivation Ω and a mapping σ, as well as semimultipliers T within its semiprime ideals P. More specifically, the present work investigates differential identities in the semiprime ideal of an arbitrary ring using P-commuting semiderivations.