부산대학교 도서관

Let R be a ring and let n ≥ 1 be a fixed integer. An additive mapping h of a ring R into itself is called an n-Jordan homoderivation if h ⁢ (x n) = (h ⁢ (x) + x) n - x n holds for all x ∈ R . In this paper, we initiate the study of n-Jordan homoderivations on rings. Precisely, we characterize n-Jordan homoderivations in terms of homoderivations and anti-homomorphisms under certain conditions. Finally, we conclude our paper with a direction for further research. [ABSTRACT FROM AUTHOR]