GENERALIZED SKEW DERIVATIONS WITH INVERTIBLE VALUES ON MULTILINEAR POLYNOMIALS
Küçük Resim Yok
Tarih
2012
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let R be a prime ring, f(X-1, ..., X-n) a multilinear polynomial which is not central-valued on R, and G a nonzero generalized skew derivation of R. Suppose that G(f(x(1), ..., x(n))) is zero or invertible for all x(1), ..., x(n) is an element of R. Then it is proved that R is either a division ring or the ring of all 2 x 2 matrices over a division ring. This result simultaneously generalizes a number of results in the literature.
Açıklama
Anahtar Kelimeler
Extended density theorem, Generalized skew derivations, Prime rings, Skew derivations
Kaynak
Communications in Algebra
WoS Q Değeri
Q4
Scopus Q Değeri
Cilt
40
Sayı
11
