Posner's Second Theorem and some Related Annihilating Conditions on Lie Ideals
Küçük Resim Yok
Tarih
2018
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let R be a non-commutative prime ring of characteristic different from 2 with Utumi quotient ring U and extended centroid C, L a non-central Lie ideal of R, Gamma and G two non-zero generalized derivations of R. If [F(u), u] G(u) = 0 for all u is an element of L, then one of the following holds: (a) there exists lambda is an element of C such that F(x) = lambda x, for all x is an element of R; (b) R subset of M-2(F), the ring of 2 X 2 matrices over a field F, and there exist a 2 U and lambda is an element of C such that F( x) = ax + xa + lambda x, for all x is an element of R.
Açıklama
Anahtar Kelimeler
Polynomial identity, generalized polynomial identity, derivation, generalized derivation, (semi-)prime ring
Kaynak
Filomat
WoS Q Değeri
Q2
Scopus Q Değeri
Cilt
32
Sayı
4
