Generalized derivations on Lie ideals in prime rings

Öznur GÖLBAŞI and Emine KOÇ

Makale detayları

Generalized derivations on Lie ideals in prime rings

Yazarlar:

Öznur GÖLBAŞI and Emine KOÇ

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2011 Vol.35 Issue 1, pp.23-28

Belge Tipi:

Makale

Yayın Tarihi:

12/2010

Belge Dili:

Türkçe

Document ID (Org No.):

2000748009

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

Let R be a prime ring with characteristic different from  two, U a nonzero Lie ideal of R and f be a generalized derivation  associated with d.  We prove the following results: (i) If [u,f(u)]  \in Z, for all u \in U, then U \subset Z. (ii) (f,d) and (g,h) be two  generalized derivations of R such that f(u)v=ug(v), for all u,v \in U,  then U \subset Z. (iii) f([u,v])=\pm \lbrack u,v], for all u,v\in U,  then U \subset Z.

 

Let R be a prime ring with characteristic different from  two, U a nonzero Lie ideal of R and f be a generalized derivation  associated with d.  We prove the following results: (i) If [u,f(u)]  \in Z, for all u \in U, then U \subset Z. (ii) (f,d) and (g,h) be two  generalized derivations of R such that f(u)v=ug(v), for all u,v \in U,  then U \subset Z. (iii) f([u,v])=\pm \lbrack u,v], for all u,v\in U,  then U \subset Z.

Makale detayları

Generalized derivations on Lie ideals in prime rings

Yazarlar:

Öznur GÖLBAŞI and Emine KOÇ

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2011 Vol.35 Issue 1, pp.23-28

Belge Tipi:

Makale

Yayın Tarihi:

12/2010

Belge Dili:

Türkçe

Document ID (Org No.):

2000748009

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Derivations

Lie ideals

generalized derivations

centralizing mappings

prime rings

Sayı

Makale detayları

Generalized derivations on Lie ideals in prime rings

Yazarlar: Öznur GÖLBAŞI and Emine KOÇ

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2011 Vol.35 Issue 1, pp.23-28

Belge Tipi: Makale

Yayın Tarihi: 12/2010

Belge Dili: Türkçe

Document ID (Org No.): 2000748009

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Derivations

Lie ideals

generalized derivations

centralizing mappings

prime rings

Sayı

Yazarlar:

Öznur GÖLBAŞI and Emine KOÇ

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2011 Vol.35 Issue 1, pp.23-28

Belge Tipi:

Makale

Yayın Tarihi:

12/2010

Belge Dili:

Türkçe

Document ID (Org No.):

2000748009

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098