journal-of-discrete-mathematical-sciences-and-cryptography Journal of Discrete Mathematical Sciences and Cryptography 2169-0065 0972-0529 Taru Publications 10.47974/JDMSC-1639 Left generalized homoderivations in 3-prime near-rings Mouhssine Samir Department of Mathematics, Polydisciplinary Faculty of Taza (FPT), Laboratory of Engineering Sciences (LSI), Sidi Mohamed Ben Abdellah University, Fez, Taza, Morocco Boua Abdelkarim Department of Mathematics, Polydisciplinary Faculty of Taza (FPT), Laboratory of Engineering Sciences (LSI), Sidi Mohamed Ben Abdellah University, Fez, Taza, Morocco 28 1 17 27 28 02 2025

In this paper, the structure of 3-prime near-rings with left generalized homoderivation satisfying certain conditions on a semigroup ideal will be investigated. After that, we’ll provide examples to explain why the hypotheses used in the various results are necessary.

 3-prime near-ring Semigroup ideal Zero-power valued mappings Left generalized homoderivation Commutativity theorems access open retracted no