On centralizing automorphisms and Jordan left derivations on σσ\sigma-prime gamma rings

Kalyan Kumar DEY; Akhil Chandra PAUL; Bijan DAVVAZ

Makale detayları

On centralizing automorphisms and Jordan left derivations on σσ\sigma-prime gamma rings

Yazarlar:

Kalyan Kumar DEY | Akhil Chandra PAUL | Bijan DAVVAZ

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2015 Vol.44 Issue 1, pp.51-57

Belge Tipi:

Makale

Yayın Tarihi:

1/2015

Belge Dili:

İngilizce

Document ID (Org No.):

2000453146

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

Let MMM be a 222-torsion free σσ\sigma-prime ΓΓ\Gamma-ring and UUU be a non-zero σσ\sigma-square
closed Lie ideal of MMM. If T:M→T:M→T :M\rightarrow MMM is an automorphism on UUU such
that T≠1T≠1T\ne 1 and Tσ=σTTσ=σTT\sigma =\sigma T on UUU, then we prove that U⊆Z(M)U⊆Z(M)U\subseteq Z(M). We
also study the additive maps d:M→Md:M→Md : M\rightarrow M such that d(uαu)=2uαd(u)d(uαu)=2uαd(u)d(u\alpha u)=2u\alpha d(u), where u∈Uu∈Uu\in U and α∈Γα∈Γ\alpha\in\Gamma, and show that d(uαv)=uαd(v)+vαd(u)d(uαv)=uαd(v)+vαd(u)d(u\alpha v)=u\alpha d(v) + v\alpha d(u), for
all u,v∈Uu,v∈Uu,v\in U and α∈Γα∈Γ\alpha\in\Gamma.

Makale detayları

On centralizing automorphisms and Jordan left derivations on σσ\sigma-prime gamma rings

Yazarlar: Kalyan Kumar DEY | Akhil Chandra PAUL | Bijan DAVVAZ

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2015 Vol.44 Issue 1, pp.51-57

Belge Tipi: Makale

Yayın Tarihi: 1/2015

Belge Dili: İngilizce

Document ID (Org No.): 2000453146

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Kalyan Kumar DEY | Akhil Chandra PAUL | Bijan DAVVAZ

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2015 Vol.44 Issue 1, pp.51-57

Belge Tipi:

Makale

Yayın Tarihi:

1/2015

Belge Dili:

İngilizce

Document ID (Org No.):

2000453146

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X