ANNIHILATORS OF POWER VALUES OF b-GENERALIZED DERIVATIONS IN PRIME RINGS

Küçük Resim Yok

Tarih

2020

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Ankara Univ, Fac Sci

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

Let R be a prime ring with extended centroid C and maximal left ring of quotients Q(ml)(R). For a nonzero element b is an element of R, let F : R -> R be a right b-generalized derivation associated with the map d of R. Suppose that s (F(x))(n) = 0 for all x is an element of R where s is a nonzero element in R and n >= 1 is a.xed positive integer. Then there exist some c is an element of Q(ml)(R) and beta is an element of C such that d(x) = ad(c)(x), F(x) = (c + beta)xb for all x is an element of R and either s(c + beta) = 0 or b(c + beta) = 0.

Açıklama

Anahtar Kelimeler

Prime ring, generalized polynomial identity, b-generalized derivation

Kaynak

Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics

WoS Q Değeri

N/A

Scopus Q Değeri

Cilt

69

Sayı

2

Künye