Generalized derivations in prime rings and Banach algebras

• Autorzy: Asma Ali , Basudeb Dhara , Shahoor Khan
• Języki publikacji: EN

Abstrakty

EN

Let R be a prime ring with extended centroid C, F a generalized derivation of R and n ≥ 1, m≥ 1 fixed integers. In this paper we study the situations:
1. $(F(x∘y))^m = (x∘y)ⁿ$ for all x,y ∈ I, where I is a nonzero ideal of R;
2. (F(x∘y))ⁿ=(x∘y)ⁿ for all x,y ∈ I, where I is a nonzero right ideal of R.
Moreover, we also investigate the situation in semiprime rings and Banach algebras.

Słowa kluczowe

EN

prime ring; generalized derivation; extended centroid; Utumi quotient ring

Kategorie tematyczne

• 16N60: Prime and semiprime rings
• 16W25: Derivations, actions of Lie algebras
• 16U80: Generalizations of commutativity

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2014
• Tom: 34
• Numer: 1
• Strony: 125-138

Daty

wydano

2014

otrzymano

2014-03-27

poprawiono

2014-04-19

Twórcy

autor

Asma Ali

• Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India

autor

Basudeb Dhara

• Department of Mathematics, Belda College, Belda, Paschim Medinipur, 721424, India

autor

Shahoor Khan

• Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India

Bibliografia

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Identyfikatory

DOI

10.7151/dmgaa.1210