Annihilators of power values of b-generalized derivations in prime rings

Nihan BAYDAR YARBİL

doi:https://doi.org/10.31801/cfsuasmas.628755

Makale detayları

Annihilators of power values of b-generalized derivations in prime rings

Yazarlar:

Nihan BAYDAR YARBİL

Yayıncı:

Ankara University

Ana Başlıklar:

Matematik

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2020 Vol.69 Issue 2, pp.1278-1284

Belge Tipi:

Makale

Yayın Tarihi:

12/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000909075

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.31801/cfsuasmas.628755

Özet:

 

Let RRR be a prime ring with extended centroid CCC and maximal left ring of quotients Qml(R)Qml(R)Q_{ml}(R).  For  a nonzero element b∈Rb∈Rb\in R let F:R→RF:R→RF:R\rightarrow R be a right generalized bbb-derivation associated with the map ddd of RRR. Suppose that  s(F(x))n=0s(F(x))n=0s\left(F(x)\right)^n=0 for all x∈Rx∈Rx\in R where sss is a nonzero element in RRR and n≥1n≥1n\geq 1 is a fixed positive integer. Then  there exist some c∈Qml(R)c∈Qml(R)c\in Q{ml}(R) and β∈Cβ∈C\beta \in C such that d(x)=adc(x)d(x)=adc(x)d(x)=ad_c(x), F(x)=(b+β)xbF(x)=(b+β)xbF(x)=(b+\beta)xb for all x∈Rx∈Rx\in R and either s(c+β)=0s(c+β)=0s(c+\beta)=0 or b(c+β)=0b(c+β)=0b(c+\beta)=0.

Makale detayları

Annihilators of power values of b-generalized derivations in prime rings

Yazarlar: Nihan BAYDAR YARBİL

Yayıncı: Ankara University

Ana Başlıklar: Matematik

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2020 Vol.69 Issue 2, pp.1278-1284

Belge Tipi: Makale

Yayın Tarihi: 12/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000909075

Sıklık: Üç Aylık

eISSN: 2618-6470

pISSN: 1303-5991

DOI: https://doi.org/10.31801/cfsuasmas.628755

Sayı

Yazarlar:

Nihan BAYDAR YARBİL

Yayıncı:

Ankara University

Ana Başlıklar:

Matematik

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2020 Vol.69 Issue 2, pp.1278-1284

Belge Tipi:

Makale

Yayın Tarihi:

12/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000909075

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.31801/cfsuasmas.628755