On Derivations of Subtraction Algebras

Yong Ho YON; Kyung Ho KİM

Makale detayları

On Derivations of Subtraction Algebras

Yazarlar:

Yong Ho YON | Kyung Ho KİM

Yayıncı:

Hacettepe University

Ana Başlıklar:

Analiz

Dergi:

Hacettepe Journal of Mathematics and Statistics 2012 Vol.41 Issue 2, pp.157-168

Belge Tipi:

Makale

Yayın Tarihi:

1/2012

Belge Dili:

İngilizce

Document ID (Org No.):

2000453553

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

The aim of this paper is to introduce the notion of derivations of subtraction algebras. We define a derivation of a subtraction algebra X as a function d on X satisfying d(x − y) = (d(x) − y) ∧ (x − d(y)) for all x, y ∈ X. Then it is characterized as a function d satisfying d(x − y) = d(x) − y for all x, y ∈ X. Also we define a simple derivation as a function da on X satisfying da(x) = x−a for all x ∈ X. Then every simple derivation is a derivation and every derivation can be partially a simple derivation on intervals. For any derivation d of a subtraction algebra X, Ker(d) and Im(d) are ideals of X, and X/Ker(d) ∼= Im(d) and X/Im(d) ∼= Ker(d). Finally, we show that every subtraction algebra X is embedded in Im(d) × Ker(d) for any derivation d of X.

Makale detayları

On Derivations of Subtraction Algebras

Yazarlar: Yong Ho YON | Kyung Ho KİM

Yayıncı: Hacettepe University

Ana Başlıklar: Analiz

Dergi: Hacettepe Journal of Mathematics and Statistics 2012 Vol.41 Issue 2, pp.157-168

Belge Tipi: Makale

Yayın Tarihi: 1/2012

Belge Dili: İngilizce

Document ID (Org No.): 2000453553

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Yong Ho YON | Kyung Ho KİM

Yayıncı:

Hacettepe University

Ana Başlıklar:

Analiz

Dergi:

Hacettepe Journal of Mathematics and Statistics 2012 Vol.41 Issue 2, pp.157-168

Belge Tipi:

Makale

Yayın Tarihi:

1/2012

Belge Dili:

İngilizce

Document ID (Org No.):

2000453553

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X