Generalized derivations centralizing on Jordan ideals of rings with involution

Lahcen OUKHTITE; Abdellah MAMOUNI

Makale detayları

Generalized derivations centralizing on Jordan ideals of rings with involution

Yazarlar:

Lahcen OUKHTITE | Abdellah MAMOUNI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2014 Vol.38 Issue 2, pp.225-232

Belge Tipi:

Makale

Yayın Tarihi:

5/2014

Belge Dili:

Türkçe

Document ID (Org No.):

2000747380

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

A classical result of Posner states that the existence of a nonzero centralizing derivation on a prime ring forces the ring to be commutative. In this paper we extend Posner's result to generalized derivations centralizing on Jordan ideals of rings with involution and discuss the related results. Moreover, we provide examples to show that the assumed restriction cannot be relaxed.

 

A classical result of Posner states that the existence of a nonzero centralizing derivation on a prime ring forces the ring to be commutative. In this paper we extend Posner's result to generalized derivations centralizing on Jordan ideals of rings with involution and discuss the related results. Moreover, we provide examples to show that the assumed restriction cannot be relaxed.

Makale detayları

Generalized derivations centralizing on Jordan ideals of rings with involution

Yazarlar:

Lahcen OUKHTITE | Abdellah MAMOUNI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2014 Vol.38 Issue 2, pp.225-232

Belge Tipi:

Makale

Yayın Tarihi:

5/2014

Belge Dili:

Türkçe

Document ID (Org No.):

2000747380

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Rings with involution

generalized derivations

Jordan ideals

Sayı

Makale detayları

Generalized derivations centralizing on Jordan ideals of rings with involution

Yazarlar: Lahcen OUKHTITE | Abdellah MAMOUNI

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2014 Vol.38 Issue 2, pp.225-232

Belge Tipi: Makale

Yayın Tarihi: 5/2014

Belge Dili: Türkçe

Document ID (Org No.): 2000747380

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Rings with involution

generalized derivations

Jordan ideals

Sayı

Yazarlar:

Lahcen OUKHTITE | Abdellah MAMOUNI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2014 Vol.38 Issue 2, pp.225-232

Belge Tipi:

Makale

Yayın Tarihi:

5/2014

Belge Dili:

Türkçe

Document ID (Org No.):

2000747380

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098