Herstein’s theorem for generalized derivations in rings with involution

Shakir ALİ; Abdul Nadim KHAN; Nadeem Ahmad DAR

Makale detayları

Herstein’s theorem for generalized derivations in rings with involution

Yazarlar:

Shakir ALİ | Abdul Nadim KHAN | Nadeem Ahmad DAR

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2017 Vol.46 Issue 6, pp.1029-1034

Belge Tipi:

Makale

Yayın Tarihi:

11/2017

Belge Dili:

İngilizce

Document ID (Org No.):

2000452098

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

Let RRR be an associative ring. An additive map F:R\toRF:R\toRF:R\toR is called a generalized derivation if there exists a derivation ddd of RRR such that F(xy)=F(x)y+xd(y)F(xy)=F(x)y+xd(y)F(xy)=F(x)y+xd(y) for all x,y∈Rx,y∈Rx,y\in R. In [7], Herstein proved the following result: If RRR is a prime ring of char(R)≠2char(R)≠2char(R)\neq 2 admitting a nonzero derivation ddd such that [d(x),d(y)]=0[d(x),d(y)]=0[d(x),d(y)]=0 for all x,y∈Rx,y∈Rx,y\in R, then RRR is commutative. In the present paper, we shall study the above mentioned result for generalized derivations in rings with involution.

Makale detayları

Herstein’s theorem for generalized derivations in rings with involution

Yazarlar: Shakir ALİ | Abdul Nadim KHAN | Nadeem Ahmad DAR

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2017 Vol.46 Issue 6, pp.1029-1034

Belge Tipi: Makale

Yayın Tarihi: 11/2017

Belge Dili: İngilizce

Document ID (Org No.): 2000452098

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Shakir ALİ | Abdul Nadim KHAN | Nadeem Ahmad DAR

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2017 Vol.46 Issue 6, pp.1029-1034

Belge Tipi:

Makale

Yayın Tarihi:

11/2017

Belge Dili:

İngilizce

Document ID (Org No.):

2000452098

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X