Derivations of generalized quaternion algebra

Eyüp KIZIL; Yasemin ALAGÖZ

Makale detayları

Derivations of generalized quaternion algebra

Yazarlar:

Eyüp KIZIL | Yasemin ALAGÖZ

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 5, pp.2649-2657

Belge Tipi:

Makale

Yayın Tarihi:

9/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000745560

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

The purpose of this paper is to determine derivations of the algebra Hα,βHα,βH_{\alpha ,\beta } of generalized quaternions over the reals and hence to obtain the algebra Der(Hα,β)Der(Hα,β)Der(H_{\alpha ,\beta }) of derivations of Hα,βHα,βH_{\alpha ,\beta }. Once we know derivations we might decompose Der(Hα,β)Der(Hα,β)Der(H_{\alpha ,\beta }) in terms of its inner and/or central derivations whenever they exist. Apart from Der(Hα,β)Der(Hα,β)Der(H_{\alpha ,\beta }) we would also be able to obtain generalized derivations, which have been studied by analysts in the context of algebras of some normed spaces, and of prime and semiprime rings.

Makale detayları

Derivations of generalized quaternion algebra

Yazarlar: Eyüp KIZIL | Yasemin ALAGÖZ

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2019 Vol.43 Issue 5, pp.2649-2657

Belge Tipi: Makale

Yayın Tarihi: 9/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000745560

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Eyüp KIZIL | Yasemin ALAGÖZ

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 5, pp.2649-2657

Belge Tipi:

Makale

Yayın Tarihi:

9/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000745560

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098