On a generalized identity of a prime ring involving b?generalized derivations
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
In recent years many effective results regarding semiprime rings obtained by a number of authors. The main purpose when treating an additive map is to describe the form of the map or the structure of the ring. Recently, [2] Kosan and Lee propose a new definition: Definition 1. Let d : R ? Q be an additive map and b ? Q. An additive map F : R ? Q is called a left b?generalized derivation with associated mapping d, if F(xy) = F(x)y + bxd(y) for all x, y ? R. In the light of this definition, the main results obtained by a number of authors is stated. Let R be a prime ring and L be a noncommutative Lie ideal of R, let F be a left b?generalized derivation associated with the map d. Supposing that a is a fixed element of R such that aF(x) n = 0 for all x ? L where n is a fixed positive integer, under some assumptions on the ring, the characterization of the maps is being treated.
Açıklama
Anahtar Kelimeler
Prime ring, (b?)generalized derivation, Martindale quotient ring, Generalized polynomial identity
Kaynak
International Conference of Mathematical Sciences (ICMS 2019)
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Baydar Yarbil, N. (2019). On a generalized identity of a prime ring involving b?generalized derivations. International Conference of Mathematical Sciences (ICMS 2019). s. 209.
