NONLINEAR JORDAN HIGHER DERIVATIONS ON TRIANGULAR RINGS

Chunhui XUE; Runling AN; Huiyuan ZHANG

doi:https://doi.org/10.24330/ieja.266237

Makale detayları

NONLINEAR JORDAN HIGHER DERIVATIONS ON TRIANGULAR RINGS

Yazarlar:

Chunhui XUE | Runling AN | Huiyuan ZHANG

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2014 Vol.15 Issue 15, pp.56-65

Belge Tipi:

Makale

Yayın Tarihi:

5/2014

Belge Dili:

Türkçe

Document ID (Org No.):

2000718196

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.266237

Özet:

 

Let T be a triangular ring. We say that a family of maps δ ={δn, δn : T → T , n ∈ N} is a Jordan higher derivable map (without assumption
 of additivity or continuity) if δn(AB + BA) = Pi+j=n[δi(A)δj (B) +δj (B)δi(A)] for all A, B ∈ T . In this paper, we show that every Jordan higher
 derivable map on a triangular ring is a higher derivation. As its application, we
 get that every Jordan higher derivable map on an irreducible CDCSL algebra
 or a nest algebra is a higher derivation, and new characterizations of higher
 derivations on these algebras are obtained.

Makale detayları

NONLINEAR JORDAN HIGHER DERIVATIONS ON TRIANGULAR RINGS

Yazarlar: Chunhui XUE | Runling AN | Huiyuan ZHANG

Yayıncı: Abdullah HARMANCI

Dergi: International Electronic Journal of Algebra 2014 Vol.15 Issue 15, pp.56-65

Belge Tipi: Makale

Yayın Tarihi: 5/2014

Belge Dili: Türkçe

Document ID (Org No.): 2000718196

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

DOI: https://doi.org/10.24330/ieja.266237

Sayı

Yazarlar:

Chunhui XUE | Runling AN | Huiyuan ZHANG

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2014 Vol.15 Issue 15, pp.56-65

Belge Tipi:

Makale

Yayın Tarihi:

5/2014

Belge Dili:

Türkçe

Document ID (Org No.):

2000718196

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.266237