On centrally-extended multiplicative (generalized)-(α,β)(α,β)(\alpha,\beta)-derivations in semiprime rings

Najat MUTHANA; Zakeiah ALKHAMİSİ

doi:https://doi.org/10.15672/hujms.568378

Makale detayları

On centrally-extended multiplicative (generalized)-(α,β)(α,β)(\alpha,\beta)-derivations in semiprime rings

Yazarlar:

Najat MUTHANA | Zakeiah ALKHAMİSİ

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 2, pp.578-585

Belge Tipi:

Makale

Yayın Tarihi:

4/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000451144

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.568378

Özet:

 

Let RRR be a ring with center ZZZ and αα\alpha, ββ\beta and ddd mappings of RRR. A mapping FFF of RRR is called a centrally-extended  multiplicative (generalized)-(α,β)(α,β)(\alpha,\beta)-derivation associated with ddd if F(xy)−F(x)α(y)−β(x)d(y)∈ZF(xy)−F(x)α(y)−β(x)d(y)∈ZF(xy)-F(x)\alpha(y)-\beta(x)d(y)\in Z for all x,y∈Rx,y∈Rx, y \in R. The objective of the present paper is to study the following conditions: (i) F(xy)±β(x)G(y)∈ZF(xy)±β(x)G(y)∈ZF(xy)\pm \beta(x)G(y)\in Z, (ii) F(xy)±g(x)α(y)∈ZF(xy)±g(x)α(y)∈ZF(xy)\pm g(x)\alpha(y)\in Z and (iii) F(xy)±g(y)α(x)∈ZF(xy)±g(y)α(x)∈ZF(xy)\pm g(y)\alpha(x)\in Z for all x,yx,yx,y in some appropriate subsets of RRR, where GGG is a multiplicative (((generalized)))-(α,β)(α,β)(\alpha,\beta)-derivation of RRR associated with the map ggg on RRR.

Makale detayları

On centrally-extended multiplicative (generalized)-(α,β)(α,β)(\alpha,\beta)-derivations in semiprime rings

Yazarlar: Najat MUTHANA | Zakeiah ALKHAMİSİ

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 2, pp.578-585

Belge Tipi: Makale

Yayın Tarihi: 4/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000451144

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.568378

Sayı

Yazarlar:

Najat MUTHANA | Zakeiah ALKHAMİSİ

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 2, pp.578-585

Belge Tipi:

Makale

Yayın Tarihi:

4/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000451144

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.568378