TY  - JOUR
TI  - Homoderivations in Prime Rings
AB  - The study consists of two parts. The first part shows that if h1(x)h2(y) = h3(x)h4(y), for all x, y ∈ R, then h1 = h3 and h2 = h4. Here, h1, h2, h3, and h4 are zero- power valued non-zero homoderivations of a prime ring R. Moreover, this study provide an explanation related to h1 and h2 satisfying the condition ah1 + h2b = 0. The second part shows that L ⊆ Z if one of the following conditions is satisfied: i. h(L) = (0), ii. h(L) ⊆ Z, iii. h(xy) = xy, for all x, y ∈ L, iv. h(xy) = yx, for all x, y ∈ L, or v. h([x, y]) = 0, and for all x, y ∈ L. Here, R is a prime ring with a characteristic other than 2, h is a homoderivation of R, and L is a non-zero square closed Lie ideal of R.
AU  - ENGİN, Ayşe
AU  - AYDIN, Neşet
DO  - 10.53570/jnt.1258402
PY  - 2023
JO  - Journal of New Theory
IS  - 43
SN  - 2149-1402
SP  - 23
EP  - 34
DB  - TRDizin
UR  - http://search/yayin/detay/1187125
ER  -