TY  - JOUR
T1  - A GENERALIZED STUDY ON CLOSED LIE IDEALS WITH (α,α)-DERIVATIONS
TT  - A GENERALIZED STUDY ON CLOSED LIE IDEALS WITH (α,α)-DERIVATIONS
AU  - Albayrak, Barış
AU  - Yeşil, Didem
PY  - 2019
DA  - August
DO  - 10.20290/estubtdb.531860
JF  - Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler
JO  - Estuscience - Theory
PB  - Eskişehir Teknik Üniversitesi
WT  - DergiPark
SN  - 2667-419X
SP  - 195
EP  - 203
VL  - 7
IS  - 2
LA  - en
AB  - In thispaper, we study square closed Lie ideals of semi-prime rings with generalized                               derivations and investigatecommutative properties of square closed Lie ideals under different conditions.Also, we take generalized  derivation  with determined  derivation  on prime ring and prove that  is  commuting on Lie ideal. Finally, wereach the corollaries about commutativity of prime rings by using the theoremswe prove.
KW  - Semi-prime ring
KW  - Lie ideal
N2  - In this paper, we study square closed Lie ideals ofsemi-prime rings with generalized (α,α)- derivations and investigatecommutative properties of square closed Lie ideals under different conditions.Also, we take generalized (α,α)- derivation H with determined (α,α)- derivationh on prime ring and prove that h is α- commuting on Lie ideal. Finally, wereach the corollaries about commutative of prime rings by using the theorems weprove.
CR  - Referans1 Bresar M. On the distance of the composition of two derivations to the generalized derivations. Glaskow Math. J. 1991; 33: 89-93.
CR  - Referans2 Argac N. On near-rings with two-sided α- derivations, Turk. J.Math. 2004; 28: 195-204.
CR  - Referans3 Chang J. C. Right generalized (α,β)- derivations having power central values, Taiwanese J. Math. 2009; 13(4): 1111-1120.
CR  - Referans4 Söğütçü E, Gölbaşı Ö. Lie ideals of semiprime rings with generalized derivations, Adıyaman University Journal of Science 2018;  8(1): 1-12.
CR  - Referans5 Bergen J, Herstein I, Kerr W.  Lie ideals and derivation of prime rings, J. Algebra 1981; 71: 259-267.
CR  - Referans6 Hongan M, Rehman N, Al-Omary R. M. Lie Ideals and Jordan Triple derivations in rings. Rend, Sem. Mat. Univ. Padova 2011; 125: 147-156.
CR  - Referans7 Rehman N. On commutativity of rings with generalized derivations,  Math. J. Okayama Univ. 2002; 44: 43-49.
UR  - https://doi.org/10.20290/estubtdb.531860
L1  - http://dergipark.org.tr/tr/download/article-file/790951
ER  -