Annihilator condition of a pair of derivations in prime and semiprime rings
Küçük Resim Yok
Tarih
2016
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Indian Nat Sci Acad
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let n be a fixed positive integer, R be a prime ring, D and G two derivations of R and L a noncentral Lie ideal of R. Suppose that there exists 0 not equal a a R such that a(D(u)u (n) -u (n) G(u)) = 0 for all u a L, where n a parts per thousand yen 1 is a fixed integer. Then one of the following holds: D = G = 0, unless R satisfies s (4); char (R) not equal 2, R satisfies s (4), n is even and D = G; char (R) not equal 2, R satisfies s (4), n is odd and D and G are two inner derivations induced by b, c respectively such that b + c a C; char (R) = 2 and R satisfies s (4). We also investigate the case when R is a semiprime ring.
Açıklama
Anahtar Kelimeler
Prime ring, derivation, extended centroid, Martindale quotient ring
Kaynak
Indian Journal of Pure & Applied Mathematics
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
47
Sayı
1
