Article ID Journal Published Year Pages File Type
4600315 Linear Algebra and its Applications 2013 9 Pages PDF
Abstract

Let A be a triangular algebra. Let n⩾2 be an integer. A map φ:A×A×⋯×A→A is said to be a n-derivation if it is a derivation in each argument. In this paper we investigate n-derivations (n⩾3) for a certain class of triangular algebras. The main result is then applied to upper triangular matrix algebras and nest algebras.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory