Power-Central Values and Engel Conditions in Prime Rings with Generalized Skew Derivations
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Basel Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let R be a prime ring of characteristic different from 2 with extended centroid C, n >= 1 a fixed positive integer, F, G : R -> R two non-zero generalized skew derivations of R. (I) If (F(x)x)(n) is an element of C for all x is an element of R, then the following hold: (a) if F is an inner generalized skew derivation, then either R subset of M-2(C) or R is commutative; (b) if F is not an inner generalized skew derivation, then R is commutative. (II) If [F(x)x, G(y)y](n) = 0 for all x, y is an element of R, then R is commutative unless when char(R) = p > 0, G is an inner generalized skew derivation and R subset of M-2(C).
Açıklama
Anahtar Kelimeler
Prime ring, generalized skew derivation, automorphism, right Martindale quotient ring
Kaynak
Mediterranean Journal of Mathematics
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
18
Sayı
3
