Annihilators of Power Central Values of Generalized Skew Derivations on Lie Ideals
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Tarbiat Modares Univ, Acecr
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let R be a prime ring with center Z(R) and G be a generalized alpha -derivation of R for alpha is an element of Aut (R). Let a E R be a nonzero element and n be a fixed positive integer. (i) If aG (x)(n) is an element of Z ( R ) for all x is an element of R then aG (x) = 0 for all x is an element of R unless dim(C) RC = 4. (ii) If aG (x)(n) E Z ( R ) for all x is an element of L , where L is a noncommutative Lie ideal of R then aG (x) = 0 for all x is an element of R unless dim(C) RC = 4.
Açıklama
Anahtar Kelimeler
Prime Ring, Lie Ideal, Generalized Skew Derivation, Generalized Derivation, Automorphism, Right Martindale Quotient Ring, Two-Sided Martin- Dale Quotient Ring, Generalized Polynomial Identity
Kaynak
Iranian Journal of Mathematical Sciences and Informatics
WoS Q Değeri
N/A
Scopus Q Değeri
Q4
Cilt
19
Sayı
1
