Non-linear n-Tuple A*B-B*A Derivations on -Algebras

Research

Title	Non-linear n-Tuple AB-BA Derivations on -Algebras
Type	Presentation
Keywords	n-tuple derivation, Prime -algebra, Additive -derivation .
Year	2019
Researchers	Ali Taghavi ، Mojtaba Nouri ، Mehran Razeghi

Abstract

Let A be a prime -algebra and preserve n-tuple new product derivations on A, that is, for every A1;A2; : : : ;An 2 A, (A1 ⋄ A2 ⋄ : : : ⋄ An) = (A1) ⋄ A2 ⋄ : : : ⋄ An + A1 ⋄ (A2) ⋄ : : : ⋄ An +: : : + A1 ⋄ A2 ⋄ : : : ⋄ (An) where Ai ⋄ Aj = A i Aj 􀀀 A jAi for i; j 2 N if ( I) = 0 for 2 f1; ig then is additive -derivation.

Ali Taghavi

Research

Abstract