ON ORTHOGONAL (σ, τ )-DERIVATIONS IN SEMIPRIME Γ-RINGS

Shakir ALİ; Mohammad Salahuddin KHAN

Makale detayları

ON ORTHOGONAL (σ, τ )-DERIVATIONS IN SEMIPRIME Γ-RINGS

Yazarlar:

Shakir ALİ | Mohammad Salahuddin KHAN

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2013 Vol.13 Issue 13, pp.23-39

Belge Tipi:

Makale

Yayın Tarihi:

5/2013

Belge Dili:

Türkçe

Document ID (Org No.):

2000718234

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

Özet:

 

Let M be a Γ-ring and σ, τ be endomorphisms of M. An additive
 mapping d : M −→ M is called a (σ, τ)-derivation if d(xαy) =
 d(x)ασ(y) + τ(x)αd(y) holds for all x, y ∈ M and α ∈ Γ. An additive mapping
 F : M −→ M is called a generalized (σ, τ)-derivation if there exists a (σ, τ)-
 derivation d : M −→ M such that F(xαy) = F(x)ασ(y) + τ(x)αd(y) holds
 for all x, y ∈ M and α ∈ Γ. In this paper, some known results on orthogonal
 derivations and orthogonal generalized derivations of semiprime Γ-rings are
 extended to orthogonal (σ, τ)-derivations and orthogonal generalized (σ, τ)-
 derivations. Moreover, we present some examples which demonstrate that the
 restrictions imposed on the hypotheses of some of our results are not superfluous.

Makale detayları

ON ORTHOGONAL (σ, τ )-DERIVATIONS IN SEMIPRIME Γ-RINGS

Yazarlar: Shakir ALİ | Mohammad Salahuddin KHAN

Yayıncı: Abdullah HARMANCI

Dergi: International Electronic Journal of Algebra 2013 Vol.13 Issue 13, pp.23-39

Belge Tipi: Makale

Yayın Tarihi: 5/2013

Belge Dili: Türkçe

Document ID (Org No.): 2000718234

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

Sayı

Yazarlar:

Shakir ALİ | Mohammad Salahuddin KHAN

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2013 Vol.13 Issue 13, pp.23-39

Belge Tipi:

Makale

Yayın Tarihi:

5/2013

Belge Dili:

Türkçe

Document ID (Org No.):

2000718234

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048